Question

using trig to find angles
question
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 cosine of an angle \(x\) is defined as \(\cos x=\frac{\text{adjacent}}{\text{hypotenuse}}\). Here, the adjacent side to angle \(x\) is \(VW = 75\) and the hypotenuse is \(WU=96\). So, \(\cos x=\frac{75}{96}\).

Step2: Solve for \(x\)

We know that \(x = \cos^{-1}(\frac{75}{96})\). First, calculate \(\frac{75}{96}=\frac{25}{32}\approx0.78125\). Then, \(x=\cos^{-1}(0.78125)\). Using a calculator, \(x\approx38.6^{\circ}\)

Answer:

\(38.6\)