Answer:
4.06
Step-by-step explanation:
Okay, let's solve this step-by-step:
1) We are given a right triangle ΔRST, where ∠T = 90°, RT = 16, SR = 65, and TS = 63.
2) To find the cosine of ∠S, we need to find the adjacent and hypotenuse sides of ∠S.
3) The adjacent side is SR = 65.
4) The hypotenuse is the side opposite the right angle, which is RT = 16.
5) Therefore, the cosine of ∠S is:
cos(∠S) = adjacent / hypotenuse
cos(∠S) = 65 / 16
cos(∠S) = 4.0625
6) Rounding to the nearest hundredth, the value of the cosine of ∠S is 4.06.
