Question 01: The longitude of a geographic location can be expressed in one the following three formats:

Decimal degrees. Example: 50.15395

Degrees, minutes, and seconds. Example: 50 9 14.220000

Degrees and minutes. Example: 50 9.237000

Write an interactive Java program, containing the main function only, which displays the following menu:

Decimal degree input

Degrees, minutes, and seconds input

Degrees and Minutes input

It then prompts the user to select his input choice and reads that choice. If the choice is invalid your program must display an appropriate error message and terminate; otherwise it reads the input. If the input is invalid your program must display an appropriate error message and terminate; otherwise it converts the input to each of the other two longitude formats and then displays each one of these formats.

:

Your program must handle InputMismatchException by displaying an appropriate error message.

Your program must be general and it must behave as in the sample program runs below.

:

A longitude can have values from 0 degrees to 180 degrees inclusive, i.e., 0 degrees 180

1 degree = 60 minutes, 1 minute = 60 seconds.

A minute can have values in the interval [0 . . . 60), i.e., 0 minutes

A second can have values in the interval [0 . . . 60), i.e., 0 seconds

: For choice 2, the input must be two integers followed by a floating point value.

For choice 3, the input must be an integer followed by a floating point value

Enter you input choice: 1. Decimal degrees 2. Degrees, Minutes, and Seconds 3. Degrees and Minutes Enter Degrees, Minutes, and Seconds: 50 9 14.220000 Output in Degrees and Minutes is: 50, 9.237000 Output in decimal degrees is: 50.153950