Ruby is standing in her back yard and she decides to estimate the height of a tree. She stands so that the tip of her shadow coincides with the tip of the tree's shadow, as shown. Ruby is 66 inches tall. The distance from the tree to Ruby is 95 feet and the distance between the tip of the shadows and Ruby is 7 feet.

a. What postulate or theorem can you use to show that the triangles in the diagram are similar? 

b. About how tall is the tree, to the nearest foot? 

c. What If? Curtis is 75 inches tall. At a different time of day, he stands so that the tip of his shadow and the tip of the tree's shadow coincide, as described above. His shadow is 6 feet long. How far is Curtis from the tree?

Transcribed Image Text:

7 ft I 66 in. 95 ft