Question

question solve for x. round to the nearest tenth of a degree, if necessary. answer attempt 1 out of 1 x = submit answer

Explanation:

Step1: Identify the trigonometric ratio

In a right - triangle, the sine of an angle \(x\) is defined as \(\sin x=\frac{\text{opposite}}{\text{hypotenuse}}\). Here, the side opposite to angle \(x\) is \(BC = 3.3\) and the hypotenuse \(AC=6\). So, \(\sin x=\frac{3.3}{6}\).

Step2: Calculate the value of \(x\)

First, calculate \(\frac{3.3}{6}=0.55\). Then, to find \(x\), use the inverse - sine function \(x = \sin^{-1}(0.55)\). Using a calculator, \(x=\sin^{-1}(0.55)\approx33.4^{\circ}\)

Answer:

\(33.4\)