Question

find x. round your answer to the nearest tenth of a degree.

Explanation:

Step1: Identify trigonometric ratio

Since we know the adjacent side ($9$) and the hypotenuse ($10$) to the angle $x$, we use the cosine function. $\cos(x)=\frac{\text{adjacent}}{\text{hypotenuse}}$. So, $\cos(x)=\frac{9}{10}$.

Step2: Solve for $x$

We take the inverse - cosine of both sides. $x = \cos^{-1}(\frac{9}{10})$.

Step3: Calculate the value

Using a calculator, $x=\cos^{-1}(0.9)\approx25.84^{\circ}$.

Step4: Round the answer

Rounding to the nearest tenth of a degree, $x\approx25.8^{\circ}$.

Answer:

$25.8$