Construct an ellipse given foci and a tangent line

Question

Given the two foci of an ellipse and a tangent line of the ellipse, can one construct the ellipse with a compass and a straightedge?

Answer 1

$A$ and $B$ are the two foci, $B'$ is the mirror image of $B$ about the tangent. Now $AB'$ meets the tangent at $C$. Construct the ellipse with string of length $AB'=AC+BC$ with its ends on foci $A$ and $B$.