Question

Jessica is trying to win this game of pool. She needs to hit the cue ball (white ball) 10 in. into the yellow ball so it will travel 15 in. to bounce off the back wall, travel across the table, and then land in the pocket. Determine the distance (d) that the yellow ball must travel after hitting the back wall to land in the pocket.

A.32 in.


B.42 in.
C.45 in.
D.70 in.

Answer 1

Since all of the angles of the two triangle are the same, they are "similar triangles", meaning that the ratios of the sides are the same, so in this case we can say:

d/(28-10)=25/10

d/18=25/10

d/18=2.5

d=2.5(18)

d=45 in