Question

6) From a point on the ground 15 ft. From the base of a flagpole, the angle of elevation of the top of the pole measures 57°. How tall is the flagpole?

Answer 1

Answer:23.1 ft

Step-by-step explanation:

Given

Point is 15 ft away from the base of the flagpole

The angle of elevation is $57^{\circ}$

from the figure, we can write

$\Rightarrow \tan 57^{\circ}=\frac{Y}{15}\\\\\Rightarrow Y=15\times \tan 57^{\circ}=23.09\approx 23.1\ ft$

The length of the flagpole is 23.1 ft