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Use trig ratios to find the missing side of the triangle below. Show all of your work. Round your answer to the nearest 10th.

Use trig ratios to find the missing side of the triangle below. Show all of your work-example-1

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Answer:


x\approx12.7

Explanation:

To solve this situation, we can use trigonometric ratios or relationships to find x. Trigonometric ratios are represented by the following diagram and formulas:

Therefore, to find x, use the sen relationship:


\begin{gathered} \sin (65)=(x)/(14) \\ x=14\cdot\sin (65) \\ x=12.688 \\ \text{ Rounding to the nearest 10th:} \\ x\approx12.7 \end{gathered}

Use trig ratios to find the missing side of the triangle below. Show all of your work-example-1
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