Respuesta :

The answer to this question is A. I just took the test.

Answer:

[tex]\frac{sin(51)}{2.6}=\frac{sin(76)}{z}[/tex]


Step-by-step explanation:

The law of sines (given) requires "2 pairs":

  • 1 pair with angle and side opposite (given)
  • another pair with angle and side opposite, where 1 is given

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.