Question

A ladder on a fire truck has its base at point B which is 4 metres above the ground. The ladder is extended and its other end rests on a vertical wall at point C, 16 metres above the ground. The horizontal distance between B and C is 9 metres. diagram not to scale 16 В. 4 Find the angle of elevation from B to C. degrees. Х The angle of elevation is​

Answer 1

53.1°

Explanation:

Let x represent the wangle of elevation from B to C

Reference angle = x

Opposite side to x = 16 - 4 = 12

Adjacent = 9

Apply trigonometric ratio to find x.

Thus:

`tan(x) = (12)/(9)`

`x = tan^(-1)(frac{12}{9})`

`x= 53.1` (nearest tenth)

Angle of elevation from B to C = 53.1°