Question

Can someone please help me find the value of x?

Answer 1

Given the information on the right triangle, notice that we have that the measure of the hypotenuse is 18 units. Then, we can use the trigonometric function cosine to find the value of 'x':

`\begin{gathered} \cos (35)=\frac{\text{adjacent side}}{hypotenuse}=(x)/(18) \\ \Rightarrow\cos (35)=(x)/(18) \end{gathered}`

solving for 'x', we get:

`\begin{gathered} (x)/(18)=\cos (35) \\ \Rightarrow x=18\cdot\cos (35)=14.7 \\ x=14.7 \end{gathered}`

therefore, the value of x is 14.7