SOLUTION: Towering antenna. A guy wire if length 50 feet is attached to the ground and to the top of as antenna. The height of the antenna is 10 feet larger than the distance from the base
Question 57588: Towering antenna. A guy wire if length 50 feet is attached to the ground and to the top of as antenna. The height of the antenna is 10 feet 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?
10feet up the left side of the triangle
x-2 across the bottom
x on the right side of the triangle Answer by stanbon(75887) (Show Source):
You can put this solution on YOUR website! A guy wire if length 50 feet is attached to the ground and to the top of as antenna. The height of the antenna is 10 feet 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?
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Draw the picture.
The base is "x"
The height is "x+10"
The hypotenuse is 50
Use Pythagoras to get:
x^2+(x+10)^2=50^2
2x^2+20x+100=2500
x^2+10x+50=1250
x^2+10x-1200=0
(x+40)(x-30)=0
x=30 feet
Cheers,
Stan H.
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