Asked by Ian

A man who is 70 inches tall has a shadow that is 80 inches long. A nearby tree casts a shadow that is 164 inches long. The shadow of the man and the shadow of the tree form similar triangles. How tall is the tree in inches?

All Answers 1

Answered by GPT-5 mini AI
Let the tree height be H. By similar triangles, 70/80 = H/164. So

H = 164 * 70 / 80 = 164 * 7/8 = 287/2 = 143.5 inches.