question\nsolve for x. round to the nearest tenth, if necessary.

Answer:

83.9

Explanation:

Step1: Identify trigonometric ratio

We know $\cos\theta=\frac{\text{adjacent}}{\text{hypotenuse}}$. Here $\theta = 68^{\circ}$, adjacent side $= 77$ and hypotenuse $=x$. So $\cos68^{\circ}=\frac{77}{x}$.

Step2: Solve for x

We can rewrite the equation as $x=\frac{77}{\cos68^{\circ}}$. Since $\cos68^{\circ}\approx0.3746$, then $x = \frac{77}{0.3746}\approx83.9$.