Question

1. Convert the following DMS values to Decimal Degrees or Decimal Degree values to DMS. Remember to use all the appropriate symbols & directions (^o,’,”, N, S, E, W)! -
   1. 50^o22’ N = how many decimal degrees?
   2. 11^o56’45” S = how many decimal degrees?
   3. 45^o13’30”E = how many decimal degrees?
   4. 7^o S = what reading in DMS?
   5. 14.3^o W = what reading in DMS?
   6. 72.861^o N = what reading in DMS?

2. Measure the distance in kilometers between these two coordinates:

36^o 55’ 20” N, 103^o 55’ 33” W and 37^o 4’ 36” N, 108^o28.26” W

Answer 1

The symbols and conversions are elaborated below:

' = minute

$^{\circ}$ = degree

" = second

DMS = Degrees Minutes Seconds

DD = Decimal Degrees

1 degree = 1 hour

1 minute = 60 seconds

1 hour = 60 minutes

DMS values can be converted to decimal degree values using the formula shown below:

...... (1)

min sec DD(Decimal Degrees) = ddegrees) + 60 + 3600

Calculate the decimal degrees from the DMS values using equation (1):

(a)

min sec DD = d+ 60 + 3600 co

Therefore, the decimal degree value is .

50,367N

(b)

56 45 min sec DD= d+60 + 3600 * 60+ 3600 = -11.945s

Therefore, the decimal degree value is .

-11.9455

(c)

min sec 13 30 5+ 60 + 3600 = 45.2 +60 + 3600 = 45+ 2+

Therefore, the decimal degree value is .

45.225E

(d)

Calculate the DMS value from the given DD value () as shown below:

Degree = 7

Minutes =

0 X 60 = 0

Therefore, DMS reading is
7°0'0's
.

(e)

Calculate the DMS value from the given DD value () as shown below:

14.3W

Degree = 14

Minutes =

0.3 x 60 = 18

Seconds =

0 X 60 = 0

Therefore, DMS reading is
14°18'0' W
.

(f)

Calculate the DMS value from the given DD value () as shown below:

72.861N

Degree = 72

Minutes =

0.861 x 60 = 51.66

Seconds =

0.66 x 60 = 39,6

Therefore, DMS reading is
72°51'40'N
.