A wire stretches from the top of a vertical pole to a point on level ground 16 feet away from the base of the pole. If the wire makes an angle of 68 degrees with the ground, determine the height of the pole and the length of the wire.

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## Answers (1)

Draw right angle triangle ABC.

let **AC = wire

AB = pole

BC = horizontal distance of wire from base = 16 feet

mtan(68) = AB/BC

AB = 16*tan(68) = 39.6 ft

cos(68) = BC/AC

AC = 16/cos(68) = 42.7 ft**