Question

solve for x. round your answer to the nearest tenth.
answer attempt 1 out of 2

Explanation:

Step1: Use sine function

In a right - triangle, \(\sin\theta=\frac{\text{opposite}}{\text{hypotenuse}}\). Here, \(\theta = 46^{\circ}\), the opposite side is \(24\) and the hypotenuse is \(x\). So, \(\sin46^{\circ}=\frac{24}{x}\).

Step2: Solve for \(x\)

Rearrange the formula to \(x=\frac{24}{\sin46^{\circ}}\). We know that \(\sin46^{\circ}\approx0.7193\). Then \(x = \frac{24}{0.7193}\approx33.4\).

Answer:

\(33.4\)