SOLUTION: A guy wire makes a 65° angle with the ground. Walking out 37 feet further from the tower, the angle of elevation to the top of the tower is 39°. Find the height of the tower.

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Question 1089628: A guy wire makes a 65° angle with the ground. Walking out 37 feet further from the tower, the angle of elevation to the top of the tower is 39°. Find the height of the tower.
Found 2 solutions by josgarithmetic, MathTherapy:
Answer by josgarithmetic(39617)   (Show Source): You can put this solution on YOUR website!
Guy wire at ground is x feet; tower is y feet.












Answer by MathTherapy(10552)   (Show Source): You can put this solution on YOUR website!

A guy wire makes a 65° angle with the ground. Walking out 37 feet further from the tower, the angle of elevation to the top of the tower is 39°. Find the height of the tower.
Use law of sines, along with the 39o, and 26o ∡ (65 - 39), and the 37' to get the length of the guy wire.
With the length of the guy wire, use sine ratio: , along with the 65o to get the height of the tower.
You should get a height of:
IGNORE, IGNORE, IGNORE the person who gave you a RIDICULOUS answer, unless of course you want to get the WRONG answer!
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