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The International Space Station (ISS) orbits the Earth at an (average) altitude of 248 miles. For this project, suppose that ISS travels along a great circle which means a circle around the Earth passing over the North and South poles (the true poles rather than magnetic). • If the radius of the Earth is 3950 miles, what is the radius of ISS's orbit? • Define the center of the Earth to be the origin. Construct the equation of the circle centered at the origin that describes the orbit of ISS. • If ISS travels 5000 miles along its orbit, what is the measure of the angle subtended by this are in both radians and degrees?

Suppose that the starting point, aka the 3 o'clock position, is above the equator near Quito, Equador. If the counter-clockwise direction is north, meaning from Quito toward the north, calculate the coordinates in miles of ISS after traveling 5000 miles along its orbit. This is ignoring the third dimension; work in a two-dimensional plane which is accurate for great circle orbits. Using the coordinates you computed from the previous part, show that they satisfy your circle equation or explain why it doesn't work.