solve for x. which function should you use? a. sine b. cosine c. tangent

Explanation:

Step1: Recall trig - function definitions

In a right - triangle, $\sin x=\frac{\text{opposite}}{\text{hypotenuse}}$, $\cos x=\frac{\text{adjacent}}{\text{hypotenuse}}$, and $\tan x=\frac{\text{opposite}}{\text{adjacent}}$. Given the side lengths 6 and 8 relative to angle $x$, the side of length 6 is opposite to angle $x$ and the side of length 8 is adjacent to angle $x$.

Step2: Select the appropriate function

Since we have the opposite and adjacent sides with respect to angle $x$, we use the tangent function.

Answer:

C. tangent