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 that the wire will be taut?


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Answer 1

Step-by-step explanation:

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Answer 2

$\huge \fbox \pink{Solution:}$

$in \: ∆ABC, \: { AC}^{2} + {AB}^{2} + {BC}^{2}$

$⇒(24 {)}^{2} = (18 {)}^{2} + {BC}^{2}$

$⇒576 = 324 + {BC}^{2}$

$⇒576 - 324 = {BC}^{2}$

${BC}^{2} = 252$

$BC = \sqrt{252} = 6 \sqrt{7} \: m$

$:Distance = 6 \sqrt{7} \: m$

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