a convert 64 degrees 42 minutes and 24 seconds to decomal de

a.) convert 64 degrees, 42 minutes and 24 seconds to decomal degrees and then to radian measure

b.) convert 61.24 degrees to DMS form and then to radian measure.

Please show all steps, thanks

Solution

a) 64 degrees 42 minutes 24 seconds

1 minute = .0166667 degrees

42 minutes = .7 degrees

1second = .000277778 degrees

24 seconds = .00666667 degrees

therefore, 64 degrees 42 minutes 24 seconds = 64.70666667 degrees

1 degree = .0174533 radians

64.70666667 degrees = 1.129344 radians

b) 61.24 degrees

in DMS form

degrees = 64

minutes = .24*60 = 14

and we are left with .4

now seconds = .4*60 = 24

hence, DMS form is 64 degrees 14 minutes 24 seconds

61.24 degrees = 1.0688396 radians