Determining the Strike Location: As shown in Figure 1 below, the asteroid will follow the path of an ellipse described by the following equation (distance in units of km): (x- 25,000)? 25,000? = 1...

Extracted text: Determining the Strike Location: As shown in Figure 1 below, the asteroid will follow the path of an ellipse described by the following equation (distance in units of km): (x- 25,000)? 25,000? = 1 20,000? The Earth's center is located at the left focus of the ellipse (x = 10,000 km, y = 0 km), and the Earth has a radius of 6,371 km. Astrophysicists at NASA have already determined the optimal time to launch the rocket. In the plane of Figure 1, the rocket platform at the time of launch will be located at (x = 13,186 km, y = 5,517.4 km). The rocket can only shoot straight up from the surface of the Earth, meaning it must follow a linear path with the following equation: у %3D1.7321х —17,321 You must use the Newton-Raphson method to determine the (x, y) location at which the rocket will strike the asteroid (that is, the intersection between the elliptical path of the asteroid and the linear path of the rocket). Then find the distance from the rocket platform to the location of the strike. asteroid Rocket path: y = 1.7321x - 17,321 km Figure 1. The asteroid follows an elliptical orbit around the Earth. The rocket will follow a linear path from the launch platform to the point at which it will impact the asteroid. Note that this figure is not to scale. You will create an accurate figure as part of the project. Launch platform at (x,y) = (13,186 km, 5,517.4 km)