A cable is attached to a radio tower 100 ft above the ground and forms an angle of 50 ( degrees ) with the ground. To the nearest foot, how long is the cable?

L = 131 feet

Step-by-step explanation:

Right Triangles

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:

Solving for L:

Calculating;

L = 131 feet

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