Question

find x round to the nearest tenth.

Explanation:

Step1: Use cosine - function definition

In a right - triangle, $\cos\theta=\frac{\text{adjacent}}{\text{hypotenuse}}$. Here, $\theta = 71^{\circ}$, the adjacent side to the angle $\theta$ is $15$, and the hypotenuse is $x$. So, $\cos(71^{\circ})=\frac{15}{x}$.

Step2: Solve for $x$

We can rewrite the equation as $x=\frac{15}{\cos(71^{\circ})}$. Since $\cos(71^{\circ})\approx0.3256$, then $x=\frac{15}{0.3256}\approx46.1$.

Answer:

$46.1$