The height of the flag pole is 51 ft.
Solution:
Paul creates the smaller triangle and flag pole creates the larger triangle.
Base of smaller triangle = 10 ft
Height of smaller triangle = 6 ft
Base of the larger triangle = 85 ft
Let the height of the flagpole be h.
Multiply by 85 on both sides.
⇒ 51 = h
The height of the flag pole is 51 ft.