Question

solve for $x$. round to the nearest tenth of a degree, if necessary.
answer attempt 1 out of 2
$x =$
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Explanation:

Step1: Use the sine function

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 \(RS = 45\) and the hypotenuse is \(RT=89\). So, \(\sin x=\frac{45}{89}\).

Step2: Solve for \(x\)

Take the inverse sine (arcsin) of both sides. \(x = \arcsin(\frac{45}{89})\). Using a calculator, \(x=\arcsin(0.5056)\approx30.4^{\circ}\)

Answer:

\(30.4\)