Question

a boy observed the top of an electric pole at an angle of elevation 60 deg, when the observation point is 8m away from the foot of the pole. find the height of the pole.​

Answer 1

Answer:13.86m

Step-by-step explanation:

A right-angled triangle was formed by the boy's angle of elevation and the pole.

So the distance of the observation point from the base of the pole is the base of the triangle.

Angle of elevation = 60°

Base(adjacent) = 8m

Pole(opposite) = y m

Using SOHCAHTOA

tan 60 = y/8

y = 8tan 60 = 8 × 1.7321(4d.p) = 13.8568= 13.86m(2d.p)