Which equation is correct and can be used to solve for the value of z?

Answer:
[tex]\frac{sin(51)}{2.6}=\frac{sin(76)}{z}[/tex]
Step-by-step explanation:
The law of sines (given) requires "2 pairs":
If we look at the picture shown, we can see that a pair of angle 51 and side opposite with length 2.6 is given, and another pair of angle 76 and side opposite, [tex]z[/tex], is unknown.
This fulfills our criteria and we can write the proportion (using law of sines) to solve for [tex]z[/tex]:
[tex]\frac{sin(51)}{2.6}=\frac{sin(76)}{z}[/tex]
First answer choice is correct.