Question

solve for $x$. round to the nearest tenth of a degree, if necessary.

Explanation:

Step1: Use cosine function

In a right - triangle, \(\cos x=\frac{\text{adjacent}}{\text{hypotenuse}}\). Here, the adjacent side to angle \(x\) is \(KL = 47\) and the hypotenuse is \(LJ=73\). So, \(\cos x=\frac{47}{73}\).

Step2: Solve for \(x\)

Take the inverse cosine of \(\frac{47}{73}\). \(x = \cos^{-1}(\frac{47}{73})\). Using a calculator, \(x\approx49.5^{\circ}\).

Answer:

\(49.5\)