trig question pls help asap

Question

A balloon is tethered to a peg in the ground by a 20m string which makes an angle of 72 degrees to the horizontal. An observer notes that the angle of elevation from him to the balloon is 41 degrees and his angle of depression to the peg is 10 degrees. Find the horizontal distance of the observer from the peg.

Answer 1

Draw and label a diagram!!

P is the peg.

B is the balloon

O is the observer

E is the earth under the observer

∠BOP = 51°

∠BPO = 62°

Use Law of Sines to determine PO

∠POE = 80°

Use Law of Sines to determine PR