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

Answer :

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

$\tan\thata=\dfrac{h}{x}$

Where, h = height

x = base

$\theta$ = angle

Put the value into the formula

$\tan20^{\circ}=\dfrac{40}{x}$

$x=\dfrac{40}{tan20^{\circ}}$

$x =109.89\ m$

Hence, The distance is 109.89 m.