SOLUTION: Two buildings are 40m apart. From the top of one building, the angle of elevation to the top of the second building is 10° and the angle of depression to the bottom of the second

Algebra ->  Coordinate Systems and Linear Equations  -> Linear Equations and Systems Word Problems -> SOLUTION: Two buildings are 40m apart. From the top of one building, the angle of elevation to the top of the second building is 10° and the angle of depression to the bottom of the second       Log On


   

Question 1160821: Two buildings are 40m apart. From the top of one building, the angle of elevation to the top of the second building is 10° and the angle of depression to the bottom of the second building is 65°. How tall is each building?
Answer by josgarithmetic(39625) About Me  (Show Source):
You can put this solution on YOUR website!
If you try to draw this, it could be like upper triangle, 10 degree opposite of a leg lengthed u, bottom triangle 65 degree opposite a leg lengthed b; both these right triangles share a common leg lengthed 40 meters.

system%28tan%2810%29=u%2F40%2Ctan%2865%29=b%2F40%29

These two unknowns can be solved for.
The question is asking for b, and for b+u.