How tall is the tree? Round to the nearest meter.

Question

Suppose Henry is laying on the ground looking up at the sun that appears just over the top of a tree at an angle of elevation of 32°. He is located 20 meters away from the base of the tree. How tall is the tree? Round to the nearest meter.

12.5 meters

13.2 meters

16.7 meters

4.4 meters

Answer 1

alpha=32°

beta=58°

gamma=90° (right triangle)

a=20m

a/sin(alpha)=b/sin(beta)=c

20/.53=37.74

b/.85=37.74

b=32m