SOLUTION: A guy wire of length 50 feet is attached to the ground and to the top of an antenna. The height of the antenna is 10 feet larger than the distance from the base of the antenna to t
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-> SOLUTION: A guy wire of length 50 feet is attached to the ground and to the top of an antenna. The height of the antenna is 10 feet larger than the distance from the base of the antenna to t
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Question 121192: A guy wire of length 50 feet is attached to the ground and to the top of an 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? Answer by checkley71(8403) (Show Source):
You can put this solution on YOUR website! A^2+B^2=C^2
A^2+(A+10)^2=50^2
A^2+A^2+20A+100=2500
2A^2+20A+100-2500=0
2A^2+20A-2400=0
2(A^2+10A-1200)=0
2(A+40)(A-30)=0
A-30=0
A=30 FEET IS THE DISTANCE FROM THE BASE OF THE ANTENNA TO THE GUIDE WIRE.
THEREFORE THE HEIGHT OF THE ANTENNAIS:
30+10=40 FEET FOR THE HEIGHT.
PROOF
30^2+40^2=50^2
900+1600=2500
2500=2500
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