The answer should be 686.40
We start with the more complicated side which is the left side, and show that, on using some trigonometric identities, we will get the term on the right side .

Using Quotient identity for tangent function, we will get


Taking out sine function from the numerator

Cancelling the common term of numerator and denominator

Answer:
About 2.17 feet.
Step-by-step explanation:
Let <em>d</em> represent the diameter of the tire.
Then the circumference of the tire will be:

So, the tire will travel dπ miles after one rotation.
After 775 rotations, the total miles traveled should be 5280 feet. Thus:

Solve for <em>d:</em>
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Approximate:

The circumference of the tire should be about 2.17 feet.