SOLUTION: You are standing 20m away from a building and measure the angle to the top of the building to be 37 degrees. There is a flagpole at the top of the building and the angle to the top

Algebra ->  Trigonometry-basics -> SOLUTION: You are standing 20m away from a building and measure the angle to the top of the building to be 37 degrees. There is a flagpole at the top of the building and the angle to the top      Log On


   

Question 1047548: You are standing 20m away from a building and measure the angle to the top of the building to be 37 degrees. There is a flagpole at the top of the building and the angle to the top of the flagpole is 42 degrees. How tall is the flagpole?
Answer by josgarithmetic(39620) About Me  (Show Source):
You can put this solution on YOUR website!
Two right triangles
y, length of building from bottom to top
t, length of flagpole which extends from top of building to top of pole

system%28y%2F20=tan%2837%29%2C%28y%2Bt%29%2F20=tan%2842%29%29
Try drawing the picture first.
Two equations in two unknown variables y and t.