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How do you convert a degree into a decimal such as in the problem 90 degree - 7degrees44min35seconds?
GurpreetKaurgp6960
There are 60 seconds in 1 minute and 60 minutes in 1 degree (making 60 x 60 = 3600 seconds in 1 degree).
Thus to convert 7° 44' 35" to a decimal divide the 44 minutes by 60 and the 35 seconds by 3600, ie it is 7 + 44/60 + 35/3600 ° ≈ 7.7431°
However, it can be worked out without needing to convert to decimals:
1° = 60'
1' = 60"
→ 90° = 89° + 1° = 89° + 60' = 89° + 59' + 1' = 89° + 59' + 60"
→ 90° - 7° 44' 35" = (89 - 7)° (59 - 44)' (60 - 35)" = 82° 15' 25"
Wiki User
∙ 9y ago
Wiki User
∙ 9y ago7° 44' 35" = 7° + 44 min ÷ 60 min/deg + 35 sec ÷ 3600 sec/deg
= 7° + 0.733° + 0.0097° = 7.743°
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