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?
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,
The opposite side of
Using the unit circle, we can find that
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