SOLUTION: Two girls are standing on directly opposite sides of a pole that is 40feet long.Their angles of elevation to the top of the pole measures30° and 42°.Find the distance between the t

Algebra ->  Trigonometry-basics -> SOLUTION: Two girls are standing on directly opposite sides of a pole that is 40feet long.Their angles of elevation to the top of the pole measures30° and 42°.Find the distance between the t      Log On


   

Question 1092476: Two girls are standing on directly opposite sides of a pole that is 40feet long.Their angles of elevation to the top of the pole measures30° and 42°.Find the distance between the two girls.
Answer by Boreal(15235) About Me  (Show Source):
You can put this solution on YOUR website!
It helps to draw this. From one girl the tangent of 30 is=height of the pole/distance to the pole (opposite/adjacent)
That is tan 30=40/d
d=40/tan 30=69.28'
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For the other pole tan 42=40/d, and d=40/tan 42=44.42'
The total is 113.7' apart.