Answer:
A.
![\text{tan}(20^(\circ))=(x)/(10)](https://img.qammunity.org/2020/formulas/mathematics/middle-school/iin9itouaph1rwxljozfr4q4i010pjihx6.png)
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.
![\text{tan}=\frac{\text{Opposite}}{\text{Adjacent}}](https://img.qammunity.org/2020/formulas/mathematics/high-school/vu9ms7dwdw1ted831gzfm75pizywkaft5e.png)
![\text{tan}(20^(\circ))=(x)/(10)](https://img.qammunity.org/2020/formulas/mathematics/middle-school/iin9itouaph1rwxljozfr4q4i010pjihx6.png)
Therefore, our required equation is
and option A is the correct choice.