111k views
3 votes
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?

1 Answer

4 votes

Answer:


x=65.55m

Step-by-step explanation:

Let x be the distance to the shore

From trigonometry properties:


tan(40^(o) )=(55m)/(x) \\x=(55m)/(tan(40^(o) )) \\x=65.55m

User Sico
by
7.8k points