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Question:

Some wire connects from a pole to point on the ground at an angle of depression of 80?. On the ground, the?

wire is 4.5 ft from the pole. (a) How much wire is used? (b) How high up the pole is the wire connected?

Answer:

Wire length = 4.5' / cos 80 degrees = 25.91 feet Distance up the pole to where the wire is connected = 4.5' (tan 80 degrees) = 25.52 feet
let w = wire length using trig............4.5/w = sine 10 degrees...................w = 25.9 ft height of wire attachment = w x cosine 10 = 25.5 ft.

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