# math

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An electric pole is supported to stand vertically on a level ground by a tight wire. The wire is pegged at a distance of 6 meters from the foot of the pole. The angle that the wire makes the ground is three times the angle it makes with the pole. Calculate the length of wire to the nearest centimeter.

• math -

since the two angles add to 90°, the angle with the pole is 90/4 = 22.5°

so, the wire has length w where

6/w = sin 22.5°
w = 15.68

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