Answer:
30 ft
Step-by-step explanation:
This is a problem of similar triangles.
| \
| \
| \
h | \
| \
| 5|\
| | 4\
<----24---->
tree man
The 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 = 5/4
Cross multiply.
4h = 24 * 5
Divide both sides by 4.
h = 6 * 5
h = 30
Answer: 30 ft
