Answer:
cos(A) = 24/25 = 0.96
Step-by-step explanation:
SOH CAH TOA tells you that ...
... cos(A) = AB/AC
We are given AB = 24, but we must calculate AC using the Pythagorean theorem.
... AC² = AB² + BC²
... AC² = 24² + 7² = 576 + 49 = 625
... AC = √625 = 25
Now, we have sufficient information to find cos(A):
... cos(A) = 24/25 = 0.96
