Question

At what point on the line y = b does the line segment from (0,0) to ( a,0) subtend the

greatest angle.

Answer 1

Solution;

Given;

Line y=b

Also;

The line segment from (0,0) to (a,0) is also horizontal y=0

All possible angles subtended by the line y=b and the line segment would be show diagrammatically as;

Therefore;

Greatest angle is subtended at $x=\frac{a}{2}$

Therefore the point is;

$P=(b,\frac{a}{2})$