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

The flag pole is 38.96 feet tall.

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=(P)/(B)`

Put all the values to find P.

`P=B* \tan\theta\\\\P=60* \tan(33)\\\\P=38.96\ ft`

So, the flag pole is 38.96 feet tall.