Question

Question 7 (1 point)
The angle of elevation from point P to the top of the pole is 65°. Point Pis 21 feet from the base of the flagpole. To
the nearest tenth, what is the height of the pole?
65°
21 ft.
Plz help

Answer 1

Answer:

h = 452.5 ft

Step-by-step explanation:

Angle of elevation from P to top of the pole = 65°

Horizontal distance between the pole and point P = 21 ft

By Applying tan rule in the given triangle ABP,

tan(∠APB) = $\frac{AB}{PB}$

tan(65°) = $\frac{h}{21}$

h = 21[tan(65°)]

h = 452.491

h ≈ 452.5 ft

Therefore, height of the pole is 452.5 ft.