How far from the base of the flagpole?

Question

Chey walked 20 meters from the base of a flagpole and noticed that the angle of elevation of the top was 64°. He then walked a further distance in the same direction until the angel of elevation was 49°. How far is he from the base of the flagpole?

Answer 1

tan 64 = h/20

20*tan 64 = h

h = 41

tan 49 = 41/x

x = 41/ tan 49

=35.640756250465293150203921186862