Question

solve for x. round your answer to the nearest tenth.
answer attempt 1 out of 2
additional solution no solution

Explanation:

Step1: Use the cosine formula

In a right - triangle, \(\cos x=\frac{\text{adjacent}}{\text{hypotenuse}}\). Here, the adjacent side to angle \(x\) is \(17\) and the hypotenuse is \(18\). So, \(\cos x=\frac{17}{18}\).

Step2: Solve for \(x\)

Take the inverse cosine of both sides: \(x = \cos^{-1}(\frac{17}{18})\). Using a calculator, \(x=\cos^{-1}(\frac{17}{18})\approx18.0^{\circ}\)

Answer:

\(18.0\)