Determine the trigonometric ratio to use according to the given information and the unknown.
32.2
Practice makes perfect
We are given the length of one leg and the measure of an acute angle of a right triangle. We want to find the length of the other leg.
Note that the given side is opposite the given angle, and the side we want to find is adjacent to the given angle. Therefore, we will use the tangent ratio.
tan θ = Length of leg opposite toθ/Length of leg adjacent toθ
In our triangle, we have that θ =25^(∘) and the length of the opposite leg is 15. We want to find the length of the leg adjacent to the angle.
