To find the values of angle A, angle C, and side AC in triangle ABC, we can use the trigonometric function cosine.
Given:
m∠B = 90°
cos(C) =
In a right triangle, the cosine of an angle is defined as the ratio of the adjacent side to the hypotenuse.
We are given that AB = 16 units, which is the side adjacent to angle C. Let's assume AC is the hypotenuse.
Using the cosine formula:
cos(C) = adjacent / hypotenuse
cos(C) = AB / AC
Substituting the given values:
cos(C) = 16 / AC
To find the value of cos(C), we need more information or a specific value for AC or angle C. Without that information, we cannot determine the values of angle A, angle C, and side AC.