Question

Write 15degrees26'9" using decimal degrees.
Please walk me through it. Don't just give me the answer.

Answer 1

\(26''\) means \(\frac{26}{60}\)

Answer 2

oops that was wrong, sorry \(26'=\frac{26}{60}\)

Answer 3

and \(p''=\frac{9}{3600}\) the denominator because \(60\times 60=3600\)

Answer 4

weird use of base 60 instead of 10 because that is what the babylonians used as the base of their number system

Answer 5

So would the answer be 15.437?

Answer 6

yeah that looks good

Answer 7

actually i am getting \(15.4358...\)

Answer 8

Okay, that makes more sense. So when doing the opposite and writing 45.832degrees in degrees, minutes and seconds, would it be 45degrees49'45" or 45degrees49'55"?

Answer 9

probably
let me check

Answer 10

yes, you are right

Answer 11

Okay cool. Thanks!

Answer 12

yw