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

`(sin(51))/(2.6)=(sin(76))/(z)`

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`:

`(sin(51))/(2.6)=(sin(76))/(z)`

First answer choice is correct.