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?

Question

asked Mar 19, 2022 76.1k views

1 Answer

Satsuki · Answer 1 · 2022-03-23T00:47:19+0000

Answer:23.1 ft

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

$\Rightarrow \tan 57^(\circ)=(Y)/(15)\\\\\Rightarrow Y=15* \tan 57^(\circ)=23.09\approx 23.1\ ft$

The length of the flagpole is 23.1 ft