solve for (x). round to the nearest tenth of a degree, if necessary.\nanswer attempt 2 out of 2\n(x=)

Explanation:

Step1: Identify the trig - ratio

In right - triangle (PQR) with right - angle at (Q), we know the opposite side ((QR = 3.3)) and the hypotenuse ((PR = 6)) with respect to angle (x). We use the sine ratio (\sin x=\frac{\text{opposite}}{\text{hypotenuse}}). (\sin x=\frac{3.3}{6})

Step2: Calculate the value of (\sin x)

(\sin x = 0.55)

Step3: Find the angle (x)

We take the inverse - sine of (0.55), (x=\sin^{- 1}(0.55)) Using a calculator, (x\approx33.4^{\circ})

Answer:

(33.4)