### Home > INT2 > Chapter 8 > Lesson 8.4.2 > Problem 8-98

8-98.

Krista is trying to solve for*x*in the triangle at right. Homework Help ✎What equation could Krista write?

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 sin 31.5º ≈ 0.522 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).

With the given angle of 58.5°, *x* is the adjacent side and 7 is the hypotenuse.

Which trigonometry ratio should you use?

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.