An electric pole is 10 m high. A steel wire tied to top of the pole is affixed at a point on the ground to keep the pole up right. If the wire makes an angle of 45° with the horizontal through the foot of the pole, find the length of the wire.
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39
Answer:
The length of the wire is 10√2 m.
Step-by-step explanation:
GIVEN:
The height of an electric pole , AB = 10 m
Distance between the foot of the ladder and wall , BC = 2 m
Angle made by Steel wire , ∠BCA (θ) = 45°
Let AC be the length of the wire (h).
In right angle triangle, ∆ABC ,
sin θ = P/ H
sin 45° = AB/AC
1/√2 = 10/h
h = 10 × √2
AB = 10√2 m
Hence , the length of the wire is 10√2 m.
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