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.
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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Solution: Here; h = 24 m, p = 18 m and b = ?
From Pythagoras theorem;
b2 = h2 – p2
Or, b2 = 242 – 182
= 576 – 324 = 252
Or, b = √252 = 6√7 m
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Answered
Let OB be the pole and AB be the wire.
AB2 = OB2 + OA2
242 = 182 + OA2
OA2 = 576 - 324
OA2 = 252
AO = \(\sqrt{252}\)
AO = 6\(\sqrt7\)m
Distance from base = 6\(\sqrt7\) m
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