Question

Suppose that you are headed toward a plateau 4040 m high. If the angle of elevation to the top of the plateau is 2020degrees°​, how far are you from the base of the​ plateau?

Answer 1

The distance is 109.89 m.

Explanation :

Given that,

Height = 40 m

Angle = 20°

We need to calculate the base of the​ plateau

Using formula of angle

`\tan\thata=(h)/(x)`

Where, h = height

x = base

`\theta` = angle

Put the value into the formula

`\tan20^(\circ)=(40)/(x)`

`x=(40)/(tan20^(\circ))`

`x =109.89\ m`

Hence, The distance is 109.89 m.