Question

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

x = submit answer

Explanation:

Step1: Use trigonometric ratio

In a right - triangle, the cosine of an angle is defined as \( \cos\theta=\frac{\text{adjacent}}{\text{hypotenuse}} \). Here, the adjacent side to angle \( x \) is \( 10 \), and the hypotenuse is \( 13 \). So, \( \cos x=\frac{10}{13} \).

Step2: Solve for \( x \)

Take the inverse cosine of both sides: \( x = \cos^{-1}(\frac{10}{13}) \). Using a calculator, \( \cos^{-1}(\frac{10}{13})\approx39.8^{\circ} \).

Answer:

\( 39.8 \)