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.
[tex]$\Rightarrow \frac{6}{10} =\frac{h}{85}[/tex]
Multiply by 85 on both sides.
[tex]$\Rightarrow 85 \times \frac{6}{10} =\frac{h}{85} \times85[/tex]
[tex]$\Rightarrow \frac{510}{10} =h[/tex]
⇒ 51 = h
The height of the flag pole is 51 ft.
