1. A point in Puri, India has latitude and longitude 19°47′45′′???? , 85°49′31′′????. A point in Hilo, Hawaii has latitude and longitude 19°47′45′′???? , 155°5′9′′????. Find the distance to the nearest mile along their

shared circle of latitude. Use 3960 mi as the radius of the earth. Show all work.

2. A household current has a wavelength of 1/25 of a second and an amplitude of 30 amps. Assume the line of equilibrium is y = 0 and the wave begins on the line of equilibrium at time , t = 0 sec. Find a wave model that represents this current using both sine and cosine. That is, you are asked to write two equivalent models for this application. One model uses cosine and one uses sine.