Question

question
video
examples
solve for x. round to the nearest tenth of
a degree, if necessary.
answer
attempt 1 out of 2
x =
submit answer

Explanation:

Step1: Recall the sine function definition

In a right - triangle, \(\sin x=\frac{\text{opposite}}{\text{hypotenuse}}\). Here, the side opposite to angle \(x\) is \(UT = 1.1\) and the hypotenuse is \(US=2.4\). So, \(\sin x=\frac{1.1}{2.4}\).

Step2: Calculate the value of \(x\)

\(x = \sin^{- 1}(\frac{1.1}{2.4})\). Using a calculator, \(\frac{1.1}{2.4}\approx0.4583\). Then \(x=\sin^{-1}(0.4583)\).
\(x\approx27.3^{\circ}\)

Answer:

\(27.3\)