Question

A 30-foot tree casts a 12-foot shadow as shown in the picture.

30 ft
12
Find the angle of elevation to the nearest tenth.

Answer 1

21.8degrees

Explanation:

Given the following

Length of shadow =opposite = 12ft

Height of tree = adjacent = 30ft

Required

angle of elevation

tan theta = opposite/adjacent

tan theta = 12/30

tan theta = 0.4

theta = 21.8degrees

angle of elevation is 21.8degrees