a vertical pole of height 24
m is supported by a taut steel cable attached from the top of the pole on level ground 14m from the foot of the pole what is the length of the cable
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Answer: Here, the vertical pole makes a right angle with ground, so use Pythagoras Theorem to find the required value.
Let OB be the vertical pole and AB be the wire.
In ∆AOB,
AB² = OB² + OA²
[ by using pythagoras theorem]
(24)² = (18)² + OA²
576 = 324 + OA²
576 - 324 = OA²
252 = OA²
OA = √ 252
OA = √(6 × 6 × 7 )
OA = 6√7 m
Hence, the distance of the stake from the base of pole is 6√7 m.
Step-by-step explanation:
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