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The equation of circle $C$ is $x^2 + (y − 8)^2 = 25$. The eye is located at $E = (0, −5)$. The maximal circular arc visible to the eye is $AB$, which is then being projected on to the one-dimensional "screen" as $A'B'$.

What are the co-ordinates of points $A$ and $B$?

I came this far: point $P$ on circle $C$ has the coordinates $x = 5 \cos\theta$, $y = 8 + 5 \sin \theta$. Now I should use this to find points $A$ and $B$, but I don't know how to proceed.

Answers