Question

I have a diagram in which AB is a vertical cliff. BC is a vertical building 80m in height. P is a point on level ground 200m away from A. The angle of elevation of the bottom of the building from P is 44 degrees. What is the angle of elevation of the top of the building from P?

Answer 1

I will assume that the building with side BC is on top of the cliff and A is at the bottom of the cliff.

step1:
tan44= AB/200
AB = 200tan44

so AC = 80 + 200tan44

let angle CPA = Ø
tanØ = AC/200 = (80 + 200tan44)/200
tanØ = 1.365
Ø = 53.79°

Answer 2

Thanks for your reply. The answer is correct!