MathDB

Let

A, B

, and

C

be three points on the edge of a circular chord such that

B

is due west of

C

and

ABC

is an equilateral triangle whose side is

86

meters long. A boy swam from

A

directly toward

B

. After covering a distance of

x

meters, he turned and swam westward, reaching the shore after covering a distance of

y

meters. If

x

and

y

are both positive integers, determine

y.

Problem Statement