Answer:
221.87 feet
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=(P)/(H)\\\\P=H\sin\theta\\\\P=525* \sin(25)\\\\P=221.87\ ft](https://img.qammunity.org/2022/formulas/mathematics/high-school/vzbu5r4w3cdoc7ok4gzur8nk7z7zc2xgat.png)
So, the height of the antenna is equal to 221.87 feet.