SOLUTION: A radio transmission tower is 219 feet tall. A guy wire is to be attached 6 feet from the top and is to make an angle of 21 degrees with the ground. How many feet long should the g

Question 1075040: A radio transmission tower is 219 feet tall. A guy wire is to be attached 6 feet from the top and is to make an angle of 21 degrees with the ground. How many feet long should the guy wire be?
Found 3 solutions by addingup, MathTherapy, josgarithmetic:
Answer by addingup(3677)   (Show Source): You can put this solution on YOUR website!
1) lets call the length of the guy wire h (for hypotenuse)
2) 219-6 = 213 the guy wire is attached 213 feet high
3) the guy wire makes an angle of 21 degrees with the ground
:
We need to apply SOH (Sine - Opposite - Hypotenuse)
Sin 21 = 213/h
h*(sin 21) = 213
h = 213/sin 21
h = 213/0.8366
h = 254.60
Answer by MathTherapy(10557)   (Show Source): You can put this solution on YOUR website!
A radio transmission tower is 219 feet tall. A guy wire is to be attached 6 feet from the top and is to make an angle of 21 degrees with the ground. How many feet long should the guy wire be?

I take it 6 feet from the top means 6 feet above the top of the building.
Therefore, . If not, then adjust it to: .
Answer by josgarithmetic(39630)   (Show Source): You can put this solution on YOUR website!
h, length of guy wire, hypotenuse
219-6=213, height of attachment of wire
21 degrees, angle opposite the 213 foot length

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