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B& B' B) B+ C6 E E E E E E F  -H-DL-@ #-<=-8=-4=-0>>-|-,(-("-$&- (:-+NC-.-2-4)-6- :->W-B@- UNIT 10: WORKING WITH SCALE DRAWINGS EVEN QUESTIONS 2-40 2. Photographers usually have an array of lenses. To obtain close-up photographs a lens of longer focal length is used, for example a 200-mm lens. Below are two drawings of a bridge, as would be seen from two camera lenses, a 50-mm lens and a 200-mm lens. Place bridge drawings, page 31, here. a. Measure the distance in each drawing across the width of the tower (measure the same point on the tower in each drawing.) What is the ratio of the tower width using a 200-mm lens to the width using a 50-mm lens? b. How much more magnification is obtained by using a 200-mm lens rather than a 50-mm lens? c. If the width of the tower was actually 100 feet, what would be the scale of the drawing made from the view seen with a 200-mm lens? 4. You have just arrived in Glenhollow, to change planes at the airport. Your plane arrived at Gate 7, and you have to catch your next flight at Gate 22. Upon leaving Gate 7 area, you see a map of the airport terminal, as shown below. Place map, page32, here. a. If you estimate that Gate 6 is about 200 feet from Gate 7, what is the scale of the terminal map? b. As you come out of Gate 7 (facing Gates 8 and 9), should you walk to the right or the left to get to Gate 22? c. Measure the walking distance on the map between Gate 7 and Gate 22. Convert this to the actual distance you will have to walk. d. If you can walk about 300 feet each minute, how many minutes do you estimate it will take you to get to Gate 22? 6. Along the Gulf Coast in Texas, a long stretch of Padre Island is declared a national seashore. Use the section of map shown here to determine approximately how many miles of seashore are protected (darkened part of the island on the map) by this status. Place map, page 33, here. What are you looking for? What do you need to answer the question? Write out the methods that you will use to solve the problem and show your work in calculating the answer(s). Your answer(s) are (make sure the units used are correct): 8. You work for a lawn treatment company. A scale drawing of the lot plan for a customers house is shown below. Notice that the lawn area is shaded. Place lot plan drawing, page 34, here. a. Use a scale to find the dimensions of the entire rectangular-shaped lot. What are the dimensions of the house? of the driveway? b. How many square feet are occupied by the house? by the driveway? c. How many square feet are occupied by the lawn? d. If a bag of fertilizer is advertised to treat 5000 square feet of lawn, how many # bags are needed to treat this lawn? 10. You are constructing temporary hog shelters. Your design is a lean-to design, using 12-foot sheets of corrugated steel as the roof. The steel rests on the ground at the back of the shelter, and is supported by two wooden poles at the front, attached about 6 inches in from the front edge of the sheets. You use 8- foot wooden poles, which you sink 3 feet into the ground. You would like to line up the rear of the shelter with the fenceline, and need to know how far from the fence line you should dig the postholes. A scale drawing of a side view of the lean-to will help you know where to dig the holes. Place picture, page 36, here. a. Select a scale that will permit you to draw the 12-foot steel roof. What scale did you choose? (Please use following page for your drawing.) b. Determine the amount of pole that will be above ground after you place it in the posthole. Determine the scaled length representing this amount of pole. c. Determine the length of corrugated steel, from the back of the shelter to the point where the pole will attach. Determine the scaled length of this amount of steel, as well as the scaled length for the full 12-foot length. d. Use your compass to help you position the drawing of the steel roof. To do this, place the point of the compass on the edge of your paper, representing the rear of the shelter. Draw an arc that has a radius equal to the scaled length of the corrugated steel you determined in Part c. Any radius of this arc will represent the length of steel from the back of the roof to the point where the pole will attach. e. Using the perpendicular corner of your 30-60-90 triangle, construct two perpendicular line segments that represent the ground and the pole. You need to adjust the position of the triangle until the length of the vertical line from the horizontal line up to the arc is the length you determined in Part b, above. Complete the drawing of the roof. f. Label the parts of your drawing and the scale, and determine the unknown measurement: how far from the rear of the shelter should you dig the postholes? 10. Please draw your building on this page. 12. The delivery service area for your company is advertised to be anywhere within 25 miles of your store. Your supervisor assigns you the task of creating a display to illustrate this. You are given a map of your metropolitan area and surrounding counties. The map covers an area that is 75 miles from east to west, and 75 miles from north to south. On the map this area is 36 inches wide and 36 inches tall. a. What is the scale of the map that you are using? b. You want to draw a large circle on the map that encompasses your delivery service area, with your store as the central point. How many miles will the diameter of the circle represent? c. How many inches will the diameter of this circle be? What are you looking for? What do you need to answer the question? Write out the methods that you will use to solve the problem and show your work in calculating the answer(s). Your answer(s) are (make sure the unit>s used are correct): 14. The passenger ferry crossing Long Island Sound is shown on the map below. Place picture, page 38, here. a. Locate the scale of the map. Measure the path taken by the ferry across the Sound. How far does the ferry travel? b. When traveling in a southerly direction, how many miles does the ferry travel before crossing the state line? 16. A new radio station, KXYZ, is trying to determine its effective broadcast range. In the short time that KXYZ has been on the air, mail and phone calls have been received from numerous surrounding communities. The station manager decides to mark these communities on a state map, as pictured below. Place map, page 39, here. a. What is the scale of the map? b. Trace the map and cities on your own paper. Draw a circle, with the radio station transmitter at the center. The circle should have a radius as large as the most distant city indicated to have responded. c. What is the actual distance of this city from the radio stations transmitter? d. Assuming that the radio signal can reach all cities within this large circle, how many square miles can the station manager estimate the broadcast is reaching? 18. Employers figuring the cost of a work station must allocate floor space to each station and employee. A certain office area is used by four employees, as shown below. In allocating the space of the entire area, the area of each employees office space must be found. Place picture, page 40, here. a. Measure a labeled dimension and compute the scale of the drawing. b. Measure the drawing above, and compute the actual dimensions of each employees office. c. Compute the area (in square feet) of each of the office areas. Organize your data in a table, with a line for each employee. 20. Your office just purchased some new computer equipment for word processing. The office space where the equipment will be placed is 10 feet wide and 14 feet long. You need to determine how much of the 14-foot length will be needed for your new equipment. You hope to be able to locate all this equipment at one end of the room. You have two disk-drive cabinets, each 4 feet deep by 11/2 feet wide. The manufacturer recommends that a minumum of 2 feet of unoccupied space be reserved all around the cabinets to permit technical maintenance access. A communications cabinet, 48 inches long and 30 inches deep is also destined for this area, needing a minimum of 3 feet of clear walking space in front. a. Make a scale drawing of the outline of the office area designated for the computer equipment. Be sure to include a scale. b. Make small cutout rectangles, to the scale of your drawing, representing the equipment and required external space. Position the cutouts on your scale drawing so that a minimum of the length of your office area is used. c. Add to your drawing the positions of the equipment that you determined. How much of the 14-foot length of office area is needed to house the new equipment? d. What purpose might your drawing serve, besides helping you to determine how much floor space will be needed for the new equipment? 22. Often frequencies of diseases and infections are geographically related. Maps can be used to represent statistics related to the reported cases. Below is an example of such a drawing for occurrences of U.S. Rocky Mountain spotted fever for a particular year. Place map, page 43, here. a. Based on the convenient way the data is shown, the occurrence of this infection is obviously more common in some areas. What area of the U.S. seems to have more reported cases of this infection? b. On your paper, draw a trapezoid that includes this area. Use the scale of the map to label the dimensions of your trapezoid with miles. c. Determine about how many square miles are in this region of high infection rate. Round to the nearest 1000 mi2. 24. Medical textbooks will often contain drawings that may of may not be to scale. This can sometimes be confusing. Below is a detailed drawing of the ear. Place drawing, page 45, here. a. Measure the actual height of the pinna of your own ear. Which of the following is closest to the scale of the drawing of the ear? 1) 1: 3 2) 1:10 3) 1:1 4) 2:1 b. Using the drawing and the estimated scale from measuring your own ear, approximately how long is the eustachian tube, from the hammer to the pharynx? 26. The text discussedC a scale drawing of a laundry center (in Figure 10-8). Use that drawing to answer the questions that follow. Place laundry center picture, page12, here. a. Measure the width of the doorway in the drawing. What is the actual width of the doorway into the laundry center? b. What is the widest box that can fit through the opening into the storage closets? c. Does the drawing indicate the height of the sewing-center table? Is so, what is it? 28. As an interior decorator, you have an opportunity to work with many possible furniture and decorating arrangements. But physically moving funishings around is laborious. One alternative is using scale drawings. Suppose a customers living room is rectangular-shaped, 18 feet by 12 feet. A three-foot- wide doorway is centrally located on each of the 12-foot walls, and a 6-foot- wide picture window is centered of one of the 18-foot walls. a. Make a scale drawing of this room. Be sure to provide a scale for your drawing, and label the doorways and the picture window. b. If your were to cut out a small rectangle to represent a 6-foot long sofa, how long would your rectangle be to match the scale of your drawing? 30. You are planning a banquet in a new 20-foot by 30-foot banquet room. The tables are to be arranged in two long rows, with a pair of tables at one end to serve as the head table. The final arrangement is to be U-shaped. Each table is 72 inches long and, allowing for seating on two sides, is about 48 wide. Each table can seat 8 guests, 4 on each side, except the head tables, which will have guests on only one side of the table. There should be at least 3 feet of walk space around all the walls and between the rows of tables. a. Make a scale drawing of the walls of the banquet room on your paper. b. Mark off the area around the perimeter of the room that should be reserved for walk space. c. Using scaled rectangles, draw an arrangement of tables that meets the requirements given above. d. How many guests will be able to sit at this arrangement? Show this on your drawing. 32. One method of sketching an enlargement of an existing drawing is the method of squares. A pattern of) accurate grid lines is overlaid on the existing drawing. On a new sheet of paper, another grid is drawn, but with the spacing proportionally larger than the first grid. The object is then drawn onto the new grid, as near as can be estimated by eye. An example of such a drawing technique is shown below. Place car sketch, page 50, here. a. What is the width of ten grid squares in the original? in the enlarged sketch? b. What is the scale of the sketch to the original? c. If you desired a 3:1 enlargement of the original, what size squares would you use on your sketch? (Hint: What is the width of 10 squares?) 34. An electrical component layout is drawn with a scale of 2:1. The layout shown below is called a taped artwork master. From this master a reduced photographic image and a printed circuit board are made. Place layout, page 51, here. a. Find the labeled reference dimension of the reduced printed circuit. Knowing that this is a 2:1 scale drawing, what length did the draftsperson initially draw this dimension? b. Is the drawing scaled-up or scaled-down? c. How long would a 0.75 integrated circuit chip (dual-in-line package) appear on the original drawing? d. What is the advantage of making a drawing with a scale like this, rather than a 1:1 scale? 36. Sometimes the key for a drawing is represented by shading rather than numerical measurements. The map below of the United States shows the extent that air conditioning is used. Notice the key and the similarity of this map to a contour map. Place map, page 52, here. a. What two states use air conditioning more than any other throughout the year? (based of land area on the map) b. About how many hours (what range of hours) do residents of Utah use air conditioning per year? c. Why doesnt this map have a scale or compass? Does it need these? 38. You are a police officer investiging a traffic accident at the intersection of 25th Street (runs north-south) and Allen Avenue (runs east-west). You need to make a scale drawing of the scene of the accident. It appears that a west-bound car on Allen entered the intersection and collided with a north-bound car on 25th. Each of the streets is 30 feet wide, and the cars are each 16 feet long and 6 feet wide. The northbound car left a 40-foot skid mark (assume 40 feet from the back end of the car). Both cars are now sitting slightly north of the middle of the intersection. Place intersection picture, page 54, here. a. On a full page of paper, make a scale drawing of the intersection similar to the one shown. Be sure the streets are shown 30 feet wide and the street names are labeled. Also, include a compass rose and your scale. (Note: please make your drawing on the following page.) b. Draw to scale the position of the cars after the collision, as best you can, from the description provided above. Be sure the sizes of the cars are to scale. c. Finally, sketch in the skid marks behind the appropriate car, and the appropriate distance, of course, to scale. (Note: This is well below the minimum needs for an accident report, but is the type work actually done by police officers preparing an accident report.) 40. A sheet-metal shield is needed for a particular installation. The shield will surround a 6-foot section of pipe that has a T 2 feet from the end. The shield must encase the 16-inch combined diameter of the pipe and insulation. See the sketch below. Place picture, page 55, here. a. What is the circumferenceof the sheet-metal cylinder required to surround the pipe and insulation? b. What is the width of 6-foot-long sheet metal needed, if you allow for 2 inches of metal for the seam? c. Make a scale drawing of the piece of sheet metal needed (before the cutouts for the T are made). Use a scale of 1 inch representing 1 foot. The drawing should include a scale and labels of the dimensions of the metal. Indicate where the cutouts will be located. (Note: Please use following page for your drawing.) 40. Please use this page for your drawing. 38. Please use this page for your drawing.DSET|(H->"9 *6*>"9DSET(H-9>96*=9DSETR ----   -Unit 10 Even Questions