Question

In the pool table diagram, angle 1 is congruent to angle 2 in the dimensions of the pool table are 92 in by 46 in. The white cue ball is hit as shown along with the dotted yellow line. If the cue ball travel 47.9 in before hitting the wall and acting toward the red ball, how far did the ball travel, in inches, after deflection until it hit the red ball? Round your answer to thr nearest inch.

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Answer 1

12 inches

Explanation:

For the two congruent right triangles, the ratio of the hypotenuse to the leg adjacent to the marked angle is the same in each triangle.

(47.9 in)/(29 in) = (d)/(7.5 in)

d = (7.5 in)(47.9/29) ≈ 12.39 in ≈ 12 in

After the bounce, the cue ball travels about 12 inches before hitting the red ball.