Question

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

Answer 1

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

Answer 2

Answer:

$\frac{sin(51)}{2.6}=\frac{sin(76)}{z}$

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, $z$, is unknown.

This fulfills our criteria and we can write the proportion (using law of sines) to solve for $z$:

$\frac{sin(51)}{2.6}=\frac{sin(76)}{z}$

First answer choice is correct.