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Two submarines left the Long Beach Shipyard, one at a speed of 25 knots and the other at a speed of 35 knots. Their courses diverged by 35°. After 3 hours, how far apart are they? (Note: A knot is a measure of speed defined as one nautical mile per hour. A nautical mile is 1,852 meters or 1.852 kilometers.) Homework Help ✎

Draw and label a diagram.

Use the Law of Cosines.

c2 = a2 + b2 − 2abcosC

c2 = 1052 + 752 − 2(105)(75)cos(35°)