Determine the trigonometric ratio to use according to the given information and the unknown.
x≈ 42.3
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 the hypotenuse and the side we want to find is adjacent to the given angle. Therefore, we will use the cosine ratio.
cos θ = adjacent/hypotenuse
In our triangle, we have that θ = 16^(∘), the hypotenuse is 44, and that the adjacent side to θ is x. Let's substitute this information into the above formula, and solve for x.