MATH SOLVE

4 months ago

Q:
# 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.

Accepted Solution

A:

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