A satellite is deployed from a space shuttle into an orbit which goes alternately north and south
of the equator. Its distance from the equator over time can be approximated by a sine wave. It
reaches 4500 km, its farthest point north of the equator, 15 minutes after the launch. Half an
orbit later it is 4500 km south of the equator, its farthest point south. One complete orbit takes
a. Find an equation of a sinusoidal function that models the distance of the satellite from
b. How far away from the equator is the satellite 1 hour after launch?