SOLUTION: Two buildings on level ground are 120 M and 85 M respectively. Given that the angle of elevation of the top of the taller building from the top of the shorter building is 33.9°, f

Algebra ->  Trigonometry-basics -> SOLUTION: Two buildings on level ground are 120 M and 85 M respectively. Given that the angle of elevation of the top of the taller building from the top of the shorter building is 33.9°, f      Log On


   



Question 1132623: Two buildings on level ground are 120 M and 85 M respectively. Given that the angle of elevation of the top of the taller building from the top of the shorter building is 33.9°, find the distance between the two buildings.
Answer by josgarithmetic(39620) About Me  (Show Source):
You can put this solution on YOUR website!
Draw picture and see right triangle. Difference in height 35 M. Angle opposite the 35 M leg is 33.9 degrees. Other leg is distance between the two buildings.

x, this distance
35%2Fx=tan%2833.9%29
x%2F35=1%2Ftan%2833.9%29

x=35%2Ftan%2833.9%29