Answered

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A guy wire supporting a radio tower is attached to the tower 128 feet above the ground. The wire makes a 45 degree angle with the ground. How long is the guy wire

Sagot :

asuwafohjames

Answer:

181 feet

Step-by-step explanation:

From the the diagram attached ,

Sinθ = a/b..................... Equation 1

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

make b the subject of the equation

b = a/sinθ................. Equation 2

Given: a = 128 feet, θ = 45°

Substitute these values into equation 2

b = 128/sin45°

b = 128/0.7071

b = 181 feet

b = 181 feet

View image asuwafohjames
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