. An ellipse has a major axis 120 and minor axis 80.

1. (i) Determine by construction the positions of the two foci and state the distance between them.
2. Use the foci method to construct the ellipse in full size.
3. (i) Construct a tangent to the ellipse at a point 30 above the major axis and to the left of the minor axis .
4. Determine and state the distance of the tangent point from the two foci.