Question

1. a tree and a pole cast shadows at the same time. what property allows you to use their shadows to find the trees height? a. both objects have the same length. b. their shadows form similar triangles. c. their shadows form congruent triangles. d. the lengths of their shadows are equal.

Explanation:

When a tree and a pole cast shadows at the same time, the triangles formed by the tree - its shadow and the pole - its shadow are similar because the angle of the sun's rays hitting them is the same. Similar triangles have proportional sides, which allows us to use the known height and shadow - length of the pole to find the height of the tree.

Answer:

b. Their shadows form similar triangles.