the cosine of ZQ is 2/3 as an improper fraction or 0.6666... as a decimal.
Identify the relevant sides and angle:
Adjacent side to ZQ: PQ = 48
Hypotenuse of triangle PQR: PR = 73
Use the cosine function:
Cosine (ZQ) = Adjacent side / Hypotenuse
Cos (ZQ) = PQ / PR
Cos (ZQ) = 48 / 73
Simplify the answer:
Cos (ZQ) = 16/24 = 2/3 (improper fraction)
Cos (ZQ) can also be written as 0.6666... (decimal)
Therefore, the cosine of ZQ is 2/3 as an improper fraction or 0.6666... as a decimal.