Question

At a certain time of day, the angle of elevation of the sun is 30°. A tree has a shadow that is 25 feet long. Find the height of the tree to the nearest foot.

A)
13 ft
B)
14 ft
C)
22 ft
D)
29 ft

Answer 1

The answer is B. 14 ft

Answer 2

`tan(30^o)= (x)/(25) \\ \\x=25tan(30^o) \\x=25* (1)/( √(3) ) \\x\approx14.43 \text{ ft}`