Honors Geometry Companion Book, Volume 2

7.2.2 Using Proportional Relationships - Practice

1.  Marcy is 5 ft 5 in. tall. To find the height of a building, she measured her shadow and the building’s shadow. What is the height h of the building?

2.  A man is 5 feet 9 inches tall. To find the height of a tree, the shadow of the

man and the shadow of the tree were measured. The length of the man’s shadow was 3 feet 6 inches. The length of the tree’s shadow was 10 feet 6 inches. What is the height of the tree?

4.  A blueprint for a lighthouse uses a scale of 1 in:5 ft. The lighthouse in the blue print is 6 in. tall. How tall is the actual lighthouse?

3.  A man is 6 feet 2 inches tall. To find the height of a tree, the shadow of the man and the shadow of the tree were measured. The length of the man’s shadow was 2 feet 1 inch. The length of the tree’s shadow was 3 feet 7 inches. What is the height of the tree?

6.  △ PTS ~ △ DRV. Find the perimeter and area of △ PTS to the nearest tenth.

5.  A blueprint for a house uses a scale of 1.4 cm:6.5 ft. The actual house is 52 ft tall. How tall is the house in the blueprint?

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