Create a data type Location that represents a location on Earth using latitudes and longit...

Create a data type Location that represents a location on Earth using latitudes and longitudes. Include a method distanceTo() that computes distances using the great-circle distance (see EXERCISE 1.2.33).

EXERCISE 1.2.33

Great circle. Write a program GreatCircle that takes four double command-line arguments—x1, y1, x2, and y2—(the latitude and longitude, in degrees, of two points on the earth) and prints the great-circle distance between them. The great-circle distance (in nautical miles) is given by the following equation:

d = 60 arccos(sin(x1) sin(x2) + cos(x1) cos(x2) cos(y1 − y2))

Note that this equation uses degrees, whereas Java’s trigonometric functions use radians. Use Math.toRadi ans() and Math.toDegrees() to convert between the two. Use your program to compute the great-circle distance between Paris (48.87° N and −2.33° W) and San Francisco (37.8° N and 122.4° W).