Question

solve for x. round your answer to the nearest thousandth. a. 7.08 b. 23.869 c. 8.442 d. 10.903 please select the best answer from the choices provided

Explanation:

Step1: Use sine function

In a right - triangle, $\sin\theta=\frac{\text{opposite}}{\text{hypotenuse}}$. Here, $\theta = 33^{\circ}$ and the hypotenuse is 13, and the side opposite to the $33^{\circ}$ angle is $x$. So, $\sin33^{\circ}=\frac{x}{13}$.

Step2: Solve for $x$

We know that $\sin33^{\circ}\approx0.5446$. Then $x = 13\times\sin33^{\circ}$. Substitute the value of $\sin33^{\circ}$: $x=13\times0.5446 = 7.0798\approx7.08$.

Answer:

A. 7.08