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 equation to get $x=\frac{12}{\sin70^{\circ}}$.
We know that $\sin70^{\circ}\approx0.9397$.
Then $x=\frac{12}{0.9397}\approx12.77$.

Answer:

$12.77$