Question

Find the value of X. Round to the nearest tenth. The diagram is not drawn to scale.

Answer 1

I assume you're allowed to use sin and cos laws here, this is a trigonometry class, yes? Here we have an angle of a right triangle, and the side adjacent to it, and we need to find the hypotenuse. Since cos = adj/hyp, it's the proper one to use here:
$cos(24) = \frac{11}{x}$
$x = \frac{11}{cos24}$
Evaluate it with a calculator to get x = 12.04 units. Make sense?