Question

Help with this question

Answer 1

When solving for the lengths of the sides of a right triangle, we can make use of the acronym SOH-CAH-TOA. In this problem, because x is adjacent to the 52-degree angle and we are also given the length of the hypotenuse, we can use the "CAH" part, which stands for cosine x = adjacent/hypotenuse.

`\begin{gathered} \cos\theta=(adjacent)/(hypotenuse) \\ \\ \cos52=(x)/(18) \\ \\ 18\cos52=x \\ \\ 11.08=x \end{gathered}`

So the answer is x = 11.08.