A wire is attached 35 feet above the ground to a telephone pole. The wire makes an angle of 45° with the ground, as shown below. What is the length of the wire?

From the information given, the wire is attached from the top of a 30 foot telephone pole to a stake in the ground. if the angle formed by the wire and the pole is 48°.

Therefore, the length of the wire will be:

cos 48° = 30/x

x = 30/cos 48°

x = 44.83

The length is 44.83 feet.

Answer Link

Yogeshkumari Yogeshkumari · Answer 2 · 2022-06-08T15:49:09+02:00

Length of the wire is equals to 35√2 feet.

What is angle of elevation?

"Angle of elevation is defined as the angle between the horizontal plane and the line drawn through the point of observation."

Formula used

sinθ = (Opposite side) / Hypotenuse

According to the question,

Given,

Length of the pole = 35feet

Angle of elevation = 45°

Length of the wire = Hypotenuse

'l' represents the length of the wire

Substitute the value in the formula we get,

sin 45° = (35 / l )

⇒ (1 / √2) = (35 / l )

⇒l = 35√2 feet

Hence, length of the wire is equals to 35√2 feet.

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