A billiard ball is struck by a cue. it travels 100 centimeters before ricocheting off a rail forming a 45 degree angle and traveling another 120 centimeters into a corner pocket. How far apart is the initial position of the ball from the corner pocket the ball was sunk in? Round answer to the nearest hundredth.

5 answers

a^2 = b^2 + c^2 - 2bc x cosA
a^2 = 100^2 + 120^2 - 2(100)(120) x cos(45)
a^2 = 10,000 + 14,400 - 24,000 x cos(45)
square root of a^2 = square root of 11792.27227
a = 108.59
90
86
The correct answer is 86!
86