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

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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) About Me  (Show Source):
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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) About Me  (Show Source):
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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: 213%2Fsin+%2821%5Eo%29.

Answer by josgarithmetic(39630) About Me  (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

213%2Fh=sin%2821%29


h%2F213=1%2Fsin%2821%29

h=213%2Fhighlight_green%28sin%2821%29%29

h=213%2Fhighlight_green%280.35837%29

highlight%28h=594%29