Question

If c =17 inches and b=15 inches., find the value of sin 0. Write your answer as a fraction. You do not need to simplify.

Answer 1

To find the value of \(\sin \theta\), we first need to clarify what \(\theta\) represents in the context of your question. Assuming \(b\) and \(c\) represent the lengths of the sides of a right triangle, with \(c\) as the hypotenuse, we can apply the sine function.

In a right triangle, the sine of the angle opposite to side \(b\) is defined as:

\[
\sin(\theta) = \frac{\text{opposite}}{\text{hypotenuse}} = \frac{b}{c}
\]

Given:
- \(b = 15\) inches
- \(c = 17\) inches

We can substitute these values into the sine formula:

\[
\sin(\theta) = \frac{b}{c} = \frac{15}{17}
\]

Thus, the value of \(\sin \theta\) is:

\[
\sin(\theta) = \frac{15}{17}
\]

This is the answer, expressed as a fraction.