Question

At a certain distance from a pole, the angle of elevation to the top of the pole is 28° . If the pole is 6.3 ft tall, what is the distance from the pole?​

Answer 1

11.84 feet

Explanation:

The given scenario will form a right angled triangle where the distance and the point from where the angle of elevation is measured will be the base of the triangle.

We know

Angle of elevation = x = 28 °

Height of pole = p = 6.3 feet

Distance from pole = d= ?

So,

`tan\ x = (p)/(b)\\ tan\ 28 = (6.3)/(b) \\0.5317 = (6.3)/(b)\\b = (6.3)/(0.5317)\\b=11.84\ feet`

Therefore, the distance from the pole is 11.84 feet ..