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?

Respuesta :

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

[tex]\tan\thata=\dfrac{h}{x}[/tex]

Where, h = height

x = base

[tex]\theta[/tex] = angle

Put the value into the formula

[tex]\tan20^{\circ}=\dfrac{40}{x}[/tex]

[tex]x=\dfrac{40}{tan20^{\circ}}[/tex]

[tex]x =109.89\ m[/tex]

Hence, The distance is 109.89 m.

Ver imagen CarliReifsteck