Find the coordinate!

Calculus Level 4

The line joining the points A = ( 1 , 0 ) A = (1,0) and B = ( 3 , 0 ) B = (3,0) subtends an angle A C B ACB at a point C = ( 0 , y ) C = (0, y) on the positive y y -axis. Calculate the value of y y such that the angle A C B ACB is maximized.


The answer is 1.732.

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