Question

Suppose you are standing such that a 32-foot tree is directly between you and the sun. If you are standing 35 feet away from the tree and the tree casts a 40-foot shadow, how tall could you be and still be completely in the shadow of the tree?

Answer 1

The maximum height you could be and still be completely in the shadow of the tree is 28 feet.

Step-by-step explanation:

To determine the height at which you could stand and still be completely in the shadow of the tree, you need to consider the similar triangles formed by the tree, its shadow, and your height. The ratio of the tree's height to its shadow is the same as the ratio of your height to the distance between you and the tree.

Since the tree is 32 feet tall and its shadow is 40 feet long, the ratio is 32/40 = 0.8.

Therefore, if you are standing 35 feet away from the tree, the maximum height you could be and still be completely in the shadow of the tree is 0.8 * 35 = 28 feet.