Two buldings are 82m apart. From a window in Building B, the angle of elevation to the top of Building A is 36 degrees.

Question

From the same window, the angle of depression to the ground at the base of Building A is 44 degrees. Find the height of Building A.

Answer 1

The best way to solve this and the sum problem is to draw a picture. Pick a point on building B to find the height of building A. You will be solving for two heights and the sum of these will give the height of building A. So h₁ will equal 82tan36° and h₂ will equal 82 tan44º. So the height of building A is 82(.7265 +.9656). This equals 138.759m.