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A wire is attached from the top of a 30-foot tall telephone pole…

A Wire Is Attached From The Top Of A 30foot Tall Telephone Pole class=

Sagot :

The diagram illustrating the given scenario is shown below

The triangle formed is a right triangle. From the diagram,

AB = height of pole

angle ACB is the angle between the and the pole

AC is the length of the wire

taking angle 48 as the reference angle,

hypotenuse = AC

adjacent side = BC = 30

θ = 48

We would find AC by applyng the Cosine trigonometric ratio which is expressed as

Cosθ = adjacent side/hypotenuse

By substituting these values into the formua, we have

Cos 48 = 30/AC

By crossmultiplying, we have

AC Cos 48 = 30

By dividing both sides of the equation by Cos 65, we have

AC = 30/Cos48

AC = 44.8

The length of the wire is 44.8 feet

View image AtiyahV217951
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