What do you apply when you have two sides and a non-enclosed angle?

When you have two sides of a triangle and a non-enclosed angle, the Sine Rule is the appropriate method to use. The Sine Rule relates the ratios of the lengths of the sides of a triangle to the sines of its angles. Specifically, it states that for any triangle, the ratio of the length of a side to the sine of the angle opposite that side is constant.

In this case, having two sides means you can use the lengths of those sides alongside the sine of the non-enclosed angle to find either the length of another side or the measure of an angle. This is particularly useful in situations involving oblique triangles, which do not have a right angle.

Applying the Sine Rule allows you to solve for unknown lengths or angles effectively, leveraging the relationship established between the sides and the corresponding angles. This makes it the choice that fits the described condition accurately.