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

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

anonymous · Answer

the shadow goes along the ground, and the tree is straight up. So we have angle =40, adjacent side = 35, opposite side = x.

tan(40) = x/35
.8391 = x/35
x = 29.37 
So your answer is D.(: