Question

An 18-ft tall tree casts a shadow of 25 feet. Find the angle of elevation of the sun.

Answer 1

46.05degrees

Explanation:

Given the following

Height of tree = 18ft (Opposite)

length of shadow = 25ft (hypotenuse)

Required

Angle of elevation

Sin theta = opp/hyp

Sin x = 18/25

sin x = 0.72

x = arcsin(0.72)

x = 46.05

Hence the angle of elevation of the sun is 46.05degrees