Answer:
A. [tex]\text{tan}(20^{\circ})=\frac{x}{10}[/tex]
Step-by-step explanation:
We have been given a right triangle. We are asked to find the equation that can be used to solve for x.
We can see that x is opposite side of the 20 degree angle and side length of 10 units is adjacent side.
We know that tangent relates opposite side of right triangle to adjacent side.
[tex]\text{tan}=\frac{\text{Opposite}}{\text{Adjacent}}[/tex]
[tex]\text{tan}(20^{\circ})=\frac{x}{10}[/tex]
Therefore, our required equation is [tex]\text{tan}(20^{\circ})=\frac{x}{10}[/tex] and option A is the correct choice.
