Question

The Angle of depression from the top of the flagpole to an object on the ground it's 33° if the object is 60 feet from the base of the cliff how tall is the flag pole

Answer 1

Answer:

The flag pole is 38.96 feet tall.

Step-by-step explanation:

The angle of depression from the top of the flagpole to an object on the ground is 33°.

The object is 60 feet from the base of the cliff.

We need to find the height of the flag pole.

Here, base, B = 60 feet

We know that,

$\tan\theta=\dfrac{P}{B}$

Put all the values to find P.

$P=B\times \tan\theta\\\\P=60\times \tan(33)\\\\P=38.96\ ft$

So, the flag pole is 38.96 feet tall.