Question

find the missing side length. round to the nearest tenth. x = 16.7

Explanation:

Step1: Identify trigonometric ratio

In a right triangle, $\cos(\theta) = \frac{\text{adjacent}}{\text{hypotenuse}}$. Here, $\theta = 49^\circ$, adjacent side = $11$ m, hypotenuse = $x$. So $\cos(49^\circ) = \frac{11}{x}$.

Step2: Solve for x

Rearrange the formula: $x = \frac{11}{\cos(49^\circ)}$. Calculate $\cos(49^\circ) \approx 0.6561$. Then $x = \frac{11}{0.6561} \approx 16.7$.

Answer:

$16.7$