SOLUTION: Suppose that you are headed toward a plateau 40m high. If the angle of elevation to the top of the plateau is 20º​, how far are you from the base of the​ plateau?

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Question 1177411: Suppose that you are headed toward a plateau 40m high. If the angle of elevation to the top of the plateau is 20º​, how far are you from the base of the​ plateau?
Found 2 solutions by ikleyn, jitendra_maths:
Answer by ikleyn(52802) About Me  (Show Source):
You can put this solution on YOUR website!
.

Let x be the distance to the plateau.


Then we have  


    tan(20°) = 40%2Fx.


But  tan(20°) = 0.3638;  therefore


    40/x = 0.3638


which implies


    x = 40/0.3638 =  109.96 meters = 110 meters (rounded).    ANSWER

Solved.



Answer by jitendra_maths(6) About Me  (Show Source):
You can put this solution on YOUR website!
Let distance of you(A) from the base(B) of the plateau is x
then in triangle ABC
tan20 = BC/AB
0.3639 = 40/x
x = 40/0.3639
x = 109.92
x = 110 m approximately