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

$\tan{30^o}= \frac{x}{25} \\ \\x=25\tan{30^o} \\x=25\times \frac{1}{ \sqrt{3} } \\x\approx14.43 \text{ ft}$

Answer 2

The answer is B. 14 ft