pls show detailed solution and computation

1. The moon's orbit is an ellipse with Earth as one focus. If the maximum distance from the moon to Earth is 405 500 km and the minimum distance is 363 300 km, find the equation of the ellipse in a Cartesian coordinate system where Earth is at the origin. Assume that the ellipse has horizontal major axis and that the minimum distance is achieved when the moon is to the right of Earth. Use 100 km as one unit. 2. Two radio stations are located 150 miles apart, where station A is west of station B. Radio signals are being transmitted simultaneously by both stations, travelling at a rate of 0.2 miles/psec. A plane travelling at 60 miles above ground level has just passed by station B and is headed towards the other station. If the signal from B arrives at the plane 480 psec before the signal sent from A, determine the location of the plane