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The city of Austin is erecting a radio tower to boost cell phone coverage. They must install guy wires to support the tower in the wind. The guy-wires must attach to the tower at a point 56 feet above the base of the tower, and must form a 50° angle with the ground. Assuming that the tower is on level ground, how far from the base of the tower will the guy-wires be secured to the ground?

Respuesta :

Answer:

47 ft

Step-by-step explanation:

The base of the tower, the guy-wires be secured to the ground will be 73.1 feet.

What are trigonometric identities?

Trigonometric identities are the functions that include trigonometric functions such as sine, cosine, tangents, secant, and, cot.

Sinθ = a/b

Where θ = angle to the horizontal, a = Height of the tower, and b = length of the wire.

Also, b = a/sinθ

Given: a = 56 feet, θ = 50°

Substitute these values into equation;

b = 56 /sin 50°

b = 56/0.766

b = 73.1 feet

Learn more about trigonometric;

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