SOLUTION: a telephone pole is to have a guy wire attached to its top and anchored to the ground at a point that is 34 feet less than the height of the pole. if the wire is to be 2 feet longe
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Question 46068: a telephone pole is to have a guy wire attached to its top and anchored to the ground at a point that is 34 feet less than the height of the pole. if the wire is to be 2 feet longer than the height of the pole, what is the height of the pole?
Answer by venugopalramana(3286) (Show Source): You can put this solution on YOUR website!
a telephone pole is to have a guy wire attached to its top and anchored to the ground at a point that is 34 feet less than the height of the pole=H SAY. if the wire=W SAY.. is to be 2 feet longer than the height of the pole, what is the height of the pole?
IF GUY WIRE IS ANCHORED AT G ON THE GROUND AND THE POLE IS TB...T BEING TOP AND B BEING BOTTOM OF POLE ON THE GROUND.THEN...
ANGLE GBT=90..IN THE RIGHT TRIANGLE GBT
GB=SIDE=H-34
BT=HEIGHT OF POLE=ANOTHER SIDE = H
GT=WIRE=W=H+2=HYPOTENUSE
GT^2=BT^2+GB^2
(H+2)^2=H^2+(H-34)^2
H^2+H^2-68H+34^2-H^2-4-4H=0
H^2-72H+1152=0
H^2-48H-24H+1152=0
H(H-48)-24(H-48)=0
(H-48)(H-24)=0
H=48
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