Home > INT3 > Chapter 10 > Lesson 10.1.4 > Problem10-57

10-57.

Solve for $x$ in each of the following triangles. What methods can be used for calculating unknown parts of triangles?

What laws and theorems relate the angles of a triangle to the sides?
Or relate the lengths of the sides of a triangle to each other?
Use them to help you find the unknown parts of these triangles.

1. Which trigonometric ratio relates the side opposite the angle to the side adjacent to it?

$x ≈ 80.86$

1. Use the Law of Sines.

1. Use the Law of Cosines.

$x ≈ 15.50^\circ$