Question

solve for x.

x = ? m

round to the nearest hundredth.

Explanation:

Step1: Use sine function

In a right - triangle, \(\sin\theta=\frac{\text{opposite}}{\text{hypotenuse}}\). Here, \(\theta = 70^{\circ}\), the opposite side is \(12\) m and the hypotenuse is \(x\). So, \(\sin70^{\circ}=\frac{12}{x}\).

Step2: Solve for \(x\)

Rearrange the formula to \(x=\frac{12}{\sin70^{\circ}}\). Since \(\sin70^{\circ}\approx0.9397\), then \(x=\frac{12}{0.9397}\approx12.77\).

Answer:

\(12.77\)