sir this is the question from the book -ML aggarwal( avichal publication) class 10th , chapter20 , heights and distances

it is an important question , since it has been asked in exams.

we have been given that An electric pole is 10 m high.

A steel wire tied to the top of the pole is affixed at a point on the ground to keep the pole upright.

If the wire makes an angle of 450 with the horizontal through the foot of the pole,

find the length of the wire.

question no 9 , heights and distances , ICSE board, ML aggarwal

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# An electric pole is 10 m high. A steel wire tied to the top of the pole is affixed at a point on the ground to keep the pole upright. If the wire makes an angle of 450 with the horizontal through the foot of the pole, find the length of the wire.

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Consider AB as the pole and AC as the wire which makes an angle of 45

^{0}with the ground.Height of the pole AB = 10 m

Consider x m as the length of wire AC

We know that

sin θ = AB/AC

Substituting the values

sin 45

^{0}= 10/xSo we get

1/√2 = 10/x

By cross multiplication

x = 10√2 = 10 (1.414)

x = 14.14

Hence, the length of the wire is 14.14 m.