Question

Can someone help me with this math problem ?? Pls it’s for my final !
-
A 525ft cable runs from the top of an antena to the ground. The angle of elevation made by the ground to the top of an antena 25°
How tall is the antena ??

Answer 1

Answer:

221.87 feet

Step-by-step explanation:

Given that,

A 525 ft cable runs from the top of an antenna to the ground.

The angle of elevation made by the ground to the top of an antena 25°

We need to find the height of the antenna.

Using trigonometry,

Hypotenuse, H = 525 ft

θ = 25°

So,

$\sin\theta=\dfrac{P}{H}\\\\P=H\sin\theta\\\\P=525\times \sin(25)\\\\P=221.87\ ft$

So, the height of the antenna is equal to 221.87 feet.