The satellite is deployed from the space shuttle into the orbit which goes alternately north and south of equator. Its distance from equator over time can be estimated by the sine wave. It reaches 4500 km, its farthest point north of equator, 15 minutes after launch. Half the orbit later it is 4500 km south of equator, its farthest point south. One complete orbit takes 2 hours.
A) Determine the equation using cosine function which models distance of satellite from equator.
B) How far away from equator is satellite one hour after launch?