Question

From a point on the ground 62 feet from the foot of a statute, the angle of elevation of the top of the statue is 37degress. Find the height of the statue to the nearest foot.

Answer 1

A right triangle is formed with the base of 62 ft and the adjacent angle is 37°. Using the definition of the trig function tangent, the height can be solved:
tan 37 = h/62
h = 62 tan 37
h = 47 ft

Therefore, the height of the statue is 47 ft.