Question

question
solve for x. round to the nearest tenth of
a degree, if necessary.
answer
attempt 2 out of 3
x = ∘ submit answer
deltamath.com

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 \(IH = 20\) and the hypotenuse \(IG=27\). So, \(\sin x=\frac{20}{27}\).

Step2: Solve for \(x\)

To find \(x\), we use the inverse sine function. \(x = \sin^{-1}(\frac{20}{27})\).
Using a calculator, \(\sin^{-1}(\frac{20}{27})\approx47.3^{\circ}\) (rounded to the nearest tenth of a degree).

Answer:

\(47.3\)