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Question

A guy-wire attached to a vertical pole of height 18 m is 24 m long and has a stake attached to the other end. How far from the base of the pole should the stake be driven so the wire will be tight?

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Solution


Let AB be the pole and AC be the wire.

By Pythagoras theorem,
AC2=AB2+BC2

(24)2=(18)2+(BC)2

(BC)2=576324

(BC)2=252

BC=67m

Therefore, the distance from the base is 67m

931625_969522_ans_9a616b3df5534a2088672200d6010c24.png

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