Suppose that you are headed toward a plateau 55 meters high. If the angle of elevation to the top of the plateau is 40degrees​, how far are you from the base of the​ plateau?

Respuesta :

Answer:

[tex]x=65.55m[/tex]

Explanation:

Let x be the distance to the shore

From trigonometry properties:

[tex]tan(40^{o} )=\frac{55m}{x} \\x=\frac{55m}{tan(40^{o} )} \\x=65.55m[/tex]