Rick, John, and Kevin are playing catch. Rick throws the ball to John, John throws the ball to Kevin, and Kevin throws the ball to Rick. John knows that the distance between him and Rick is 20 yards and the distance between him and Kevin is 20 yards. He also knows that the angle created between Rick, himself, and Kevin has a measure of 30°. Which person is making the shortest throw?

Question

Brennan Scott

Mathematics

20 May, 14:59

Rick, John, and Kevin are playing catch. Rick throws the ball to John, John throws the ball to Kevin, and Kevin throws the ball to Rick. John knows that the distance between him and Rick is 20 yards and the distance between him and Kevin is 20 yards. He also knows that the angle created between Rick, himself, and Kevin has a measure of 30°. Which person is making the shortest throw?

+3

Answers (1)

Know the Answer?

Harley Wells · Answer 1

Kevin and Rick

Step-by-step explanation:

RJ - 20 y

JK - 20square root 3

M
Let's find the length segment KR by using law of cosines

KR^2 = RJ^2 + JK^2 - 2 (RJ) (JK) cos (
KR^2=400

KR=20 yards

Kevin and Rick throwing same distance, but John's distance is longer.