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
$x = square^{circ}$ 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 \(MN = 20\) and the hypotenuse is \(MO=43\). So, \(\cos x=\frac{20}{43}\).

Step2: Solve for \(x\)

To find \(x\), we use the inverse cosine function. \(x = \cos^{-1}(\frac{20}{43})\).
Using a calculator, \(\frac{20}{43}\approx0.4651\). Then \(x=\cos^{-1}(0.4651)\approx62.3^{\circ}\)

Answer:

\(62.3\)