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A guy wire attached to a vertical pole of height 18 m is 24 m long and has a stake attached to

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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 that the wire will be taut?

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In ⊥∆PQR, ∠Q = 90°, QR = ? 

∴ PQ2 + QR2 = PR2 

(18)2 + QR2 = (24)2 

324 + QR2 = 576 

QR2 = 576 – 324 

QR2 = 252 

∴ QR = 15.8 m.

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