# A 40-foot guy wire is attached to a utility pole to provide support for the pole. The wire forms a 60º angle with the ground. How high up the pole is the wire attached? What is the answer in simplest form?

##### 1 Answer

Mar 16, 2017

#### Explanation:

Consider the diagram

We need to find the height upto which the guy wire is connected to the pole which is

To find that, we can use a simple trigonometry function

If you know a little trigonometry, you can say that,

#color(brown)(sin(theta)=("Opposite")/("Hypotenuse")#

The opposite side of

So,

Using the unit circle, we can find that

Hope this helps... :)

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