Question

Convert the degree -minute-second measure 15. 34' 33" into decimal degree measures

Answer 1

we have to convert the degree - minute - second measure 15° 34' 33" into decimal degree measure.

solution : we know, 1° = 60'

and 1' = 60"

so, 1° = 60' = 3600"

therefore, 1' = (1/60)° , 1" = (1/3600)"

now 15° 34' 33" = [15 + (34/60) + (33/3600)]°

= 15 + 0.566667 + 0.009167

= 15.575834° ≈ 15.58°

Therefore 15° 34' 33" into decimal degree is 15.58°