SOLUTION: Towering antenna. A guy wire of length 50ft is attached to the ground and to the top of an antenna. The height of the antenna is 10ft larger than the distance from the base of the
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Question 35641: Towering antenna. A guy wire of length 50ft is attached to the ground and to the top of an antenna. The height of the antenna is 10ft larger than the distance from the base of the antenna to the point where the guy wire is attached to the ground. What is the height of the antenna? Answer by stanbon(75887) (Show Source):
You can put this solution on YOUR website! Towering antenna. A guy wire of length 50ft is attached to the ground and to the top of an antenna. The height of the antenna is 10ft larger than the distance from the base of the antenna to the point where the guy wire is attached to the ground. What is the height of the antenna?
Draw the picture:
The wire, tower, and ground form a right triangle.
Let the base be "x"
Then the antenna height is "x+10"
Use Pythagoras:
x^2 + (x+10)^2 = 50^2
x^2+x^2+20x_100=2500
2x^2+20x-2400=0
x^2+10x-1200=0
(x+40)(x-30)=0
x=30
x+10=40 ft is the height of the antenna
Cheers,
stan H.
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