Question

using trig to find angles
question
video examples
solve for x. round to the nearest tenth of
a degree, if necessary.
answer
attempt 1 out of 3
x = submit answer
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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 \(MN = 1.1\) and the hypotenuse is \(NL=2.6\). So, \(\sin x=\frac{1.1}{2.6}\).

Step2: Solve for \(x\)

We know that if \(\sin x = a\), then \(x=\sin^{- 1}(a)\). Substituting \(a = \frac{1.1}{2.6}\approx0.423\), we get \(x=\sin^{-1}(0.423)\). Using a calculator, \(x\approx25.0^{\circ}\)

Answer:

\(25.0\)