Sines and cosines applied problems

Question

A flag pole stands on top of tall building which is located on level ground. From a .125 feet away from the base of the building, the angles of elevation of the top and bottom of the flagpole measures 70° and 67° respectively how tall is the building how long is the flag pole?

Answer 1

Draw and label a diagram

p represents the height of the pole

b represents the height of the building

b / 125 = tan 67°

b = 125 tan 67°

(b + p) / 125 = tan 70°

b + p = 125 tan 70°

Can you solve for b then p and answer?