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Angelina_Jolie [31]
3 years ago
11

A cable is attached to a radio tower 100 ft

Mathematics
1 answer:
BARSIC [14]3 years ago
4 0

Answer:

<em>L = 131 feet</em>

Step-by-step explanation:

<u>Right Triangles</u>

The cable, the ground, and the radio tower form a right triangle with an angle of 90° located where the ground and the tower meet.

The cable is the hypotenuse of the triangle and the angle of 50° is opposite to the height of the radio tower.

To find the hypotenuse L we use the sine ratio:

\displaystyle \sin\theta=\frac{\text{opposite leg}}{\text{hypotenuse}}

\displaystyle \sin 50^\circ=\frac{100}{L}

Solving for L:

\displaystyle L=\frac{100}{\sin 50^\circ}

Calculating;

L = 131 feet

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