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Chapter 8: Q. 79 (page 520)

A pool player located at X wants to shoot the white ball off the top cushion and hit the red ball dead center. He knows from physics that the white ball will come off a cushion at the same angle as it hits a cushion. Where on the top cushion should he hit the white ball?

Short Answer

Expert verified

The player should hit the top cushion at the point 4.125ftfrom the upper left corner.

Step by step solution

01

Step 1. Given information.

Consider the given diagram,

02

Step 2. Find the tan α for two triangles.

Assume x to be the length of side BC.

From 鈻�ABC,

tan伪=ABxtan伪=3x......(i)

From 鈭�EDC,

role="math" localid="1647581749132" tan伪=1.85-x......(ii)

03

Step 3. Equate equations (i) and (ii).

On equating equations (i) and (ii),

3x=1.85-x35-x=1.8x15-3x=1.8xx=3.125ft

The player should hit the top cushion at point C,which is3.125+1=4.125ft.

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