Two planes leave the airport, one is heading north and the other is heading west. After several minutes, the first plane is 12 miles north of the airport and the second plane is 15 miles west of the airport. Estimate the distance between the two planes to the nearest hundredth of a mile.

Abilliard ball is struck by a cue. it travels 1 0 0 cm 100cm before ricocheting off a rail and traveling another 1 2 0 cm 120cm into a corner pocket. the angle between the path as the ball approaches the rail and the path after it strikes the rail is 4 5 ∘ 45 ∘ . how far is the corner pocket from where the cue initially struck the ball? do not round during your calculations. round your final answer to the nearest centimeter.