SOLUTION: An observer sees that the angle of elevation to the top of a tower, 80m high and due south of her position is 37 degrees. The top of another tower 60 m high and due west of her po

Algebra ->  Trigonometry-basics -> SOLUTION: An observer sees that the angle of elevation to the top of a tower, 80m high and due south of her position is 37 degrees. The top of another tower 60 m high and due west of her po      Log On


   

Question 857295: An observer sees that the angle of elevation to the top of a tower, 80m high and due south of her position is 37 degrees. The top of another tower 60 m high and due west of her position is at an angle of elevation of 28 degrees. Calculate the distance between the two towers.
Answer by mananth(16946) About Me  (Show Source):
You can put this solution on YOUR website!
ground distance of the south tower = 80/Tan 37
ground distance of west tower = 60/Tan 27

The plot of towers and the point of observation form a right triangle on ground
By Pythagoras theorem

distance between towers = sqrt ((60/tan 27 degrees)^2 +80/tan 37 degrees)^2)
= 158.5 meters