The top of a 230 foot vertical tower is to be anchored by cables that make an angle with a measure of 50 degrees with the ground. How long must each cable be? _ feet   
How far from the base of the tower should the anchors be placed? _ feet   
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Step-by-step explanation:

The side given is opposite the given angle. We want to find both the hypotenuse and the adjacent side in the right triangle that models the geometry.

  Sin = Opposite/Hypotenuse

  sin(50°) = (230 ft)/h

  h = (230 ft)/sin(50°) ≈ 300.24 ft

The length of the cable must be about 300.2 feet.

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  Tan = Opposite/Adjacent

  tan(50°) = (230 ft)/d

  d = (230 ft)/tan(50°) ≈ 192.99 ft

The cable must be anchored about 193.0 ft from the tower.

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step-by-step explanation:

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