A tree casts a shadow of 24 feet at the same time as a 5-foot tall man casts a shadow of 4feet. Find the height of the tree.

Answer:30 ftStep-by-step explanation:This is a problem of similar triangles.          | \          |    \          |      \      h  |        \          |          \          |         5|\          |           | 4\           <----24---->       tree     manThe height of the man is 5 ft.The shadow of the tree is 24 ft.The shadow of the man is 4 ft.We have similar triangles, so the lengths of their sides are proportional.h/24 = 5/4Cross multiply.4h = 24 * 5Divide both sides by 4.h = 6 * 5h = 30Answer: 30 ft