Question

Can someone please help me with this? I've been staring at this question for days now...

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

Answer 1

Since we already have the measurement of the adjacent side and we want to find the hypotenuse, we use the cosine to find our answer.

$\cos( \alpha ) = \frac{adjecent}{hyptenuse}$
$\cos(24) = \frac{11}{x}$

Therefore
$x = \frac{11}{ \cos(24) } = 12.0$
Hence, the length of x is about 12.0