What is the measure of P to the nearest whole degree?

Side PQ is 17, QR is 15, and PR is 14.

A. 35°

B. 52°

C. 57°

D. 72°

Question

Mathematics

Eloise

30 August, 02:13

What is the measure of P to the nearest whole degree?

Side PQ is 17, QR is 15, and PR is 14.

A. 35°

B. 52°

C. 57°

D. 72°

+2

Answers (1)

Know the Answer?

Steve Atkinson · Answer 1

We have to use the Cosine Law:QR² = PR² + PQ² - 2 PQ · PR · cos P

15² = 17² + 14² - 2 · 17 · 14 · cos P225 = 289 + 196 - 476 cos P476 cos P = 289 + 196 - 225476 cos P = 260cos P = 260 : 476cos P = 0.546m (P) = cos ^ (-1) 0.546m (P) = 56.9° ≈ 57°Answer: C. 57°

What is the measure of P to the nearest whole degree?Side PQ is 17, QR is 15, and PR is 14.A. 35°B. 52°C. 57°D. 72°

What is the measure of P to the nearest whole degree?

Side PQ is 17, QR is 15, and PR is 14.

A. 35°

B. 52°

C. 57°

D. 72°