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Can someone help me with this math problem ?? Pls it’s for my final !

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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 ??

Can someone help me with this math problem ?? Pls it’s for my final ! - A 525ft cable-example-1

1 Answer

4 votes

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

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

User Andreas Frische
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