Krista is trying to solve for $x$ in the triangle at right.

1. What equation could Krista write?

   Hint (a):

   With the given angle of $58.5^\circ$, $x$ is the adjacent side and $7$ is the hypotenuse.
   Which trigonometry ratio should you use?

2. Krista does not have a scientific calculator with trig buttons on it, but she does remember something funny her friend Juanisha told her. Juanisha’s favorite sine ratio is $\sin31.5^\circ\approx0.522$ because $5/22$ is Juanisha’s birthday! Without using the trig buttons on your calculator, use Juanisha’s favorite ratio to solve your equation from part (a).

   Hint (b):

   Remember the sine of one acute angle in a right triangle equals the cosine of the other acute angle.
   Find the measure of the missing angle in the triangle, then use sine ratio.