Students will learn how to u se Proportional Relationships to find missing segment lengths.

1. Objectives Students will learn how to use Proportional Relationships to find missing segment lengths.

2. Helpful Hint Whenever dimensions are given in both feet and inches, you must convert them to either feet or inches before doing any calculations. Remember! A proportion may compare measurements that have different units. A scale drawingrepresents an object as smaller than or larger than its actual size. The drawing’s scaleis the ratio of any length in the drawing to the corresponding actual length. For example, on a map with a scale of 1 cm : 1500 m, one centimeter on the map represents 1500 m in actual distance. COPY THIS:

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5. To find the height h of a dinosaur in a museum, Amir placed a mirror on the ground 40 feet from its base. Then he stepped back 4 feet so that he could see the top of the dinosaur in the mirror. Amir's eyes were approximately 5 feet 8 inches above the ground. What is the height of the dinosaur? Write 5 feet 8 inches as 5.7 feet. *8/12 = 0.66666

6. To find the height h of a dinosaur in a museum, Amir placed a mirror on the ground 40 feet from its base. Then he stepped back 4 feet so that he could see the top of the dinosaur in the mirror. Amir's eyes were approximately 5 feet 4 inches above the ground. What is the height of the dinosaur? Write 5 feet 4 inches as ___ feet. *4/12 = 0.30769

7. Jenny is 5 feet 8 inches tall. To find the height h of a light pole, she measured her shadow and the pole's shadow. What is the height of the pole? Give the height as a mixed number (a whole number and a fraction). Write 5 feet 8 inches as 5.7 feet. *8/12 = 0.66666 Write 7 feet 9 inches as 7.75 feet. *9/12 = 0.75

8. Jenny is 5 feet 2 inches tall. To find the height h of a light pole, she measured her shadow and the pole's shadow. What is the height of the pole? Give the height as a mixed number (a whole number and a fraction).

9. Tyler wants to find the height of a telephone pole. He measured the pole’s shadow and his own shadow and then made a diagram. What is the height h of the pole? Step 1 Convert the measurements to inches. AB = 7 ft 8 in. = (7  12) in. + 8 in. = 92 in. BC = 5 ft 9 in. = (5  12) in. + 9 in. = 69 in. FG = 38 ft 4 in. = (38  12) in. + 4 in. = 460 in. Step 2 Find h. 92h = 69  460 h = 345 The height h of the pole is 345 inches, or 28 feet 9 inches.

10. Tyler wants to find the height of a telephone pole. He measured the pole’s shadow and his own shadow and then made a diagram. What is the height h of the pole? Step 1 Convert the measurements to inches. Step 2 Find h. The height h of the pole is ___ inches, or __ feet _inches.

11. To find the distance d across a stream, Levi located points as shown in the figure. Use the given information to find d. Round your answer to the nearest tenth if necessary.

12. To find the distance d across a stream, Levi located points as shown in the figure. Use the given information to find d. Round your answer to the nearest tenth if necessary.

13. A city is planning an outdoor concert for an Independence Day celebration. To hold speakers and lights, a crew of technicians sets up a scaffold with two platforms by the stage. The first platform is 8 feet 2 inches off the ground. The second platform is 7 feet 6 inches above the first platform. The shadow of the first platform stretches 6 feet 3 inches across the ground.A technician is 5 feet 8 inches tall. The technician is standing on top of the second platform. Find the length s of the shadow that is cast by the scaffold and the technician to the nearest inch.