decimal degrees

# decimal degrees - Decimal Degrees ↔ Minutes& Seconds...

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Unformatted text preview: Decimal Degrees ↔ Minutes & Seconds Much the same as an hour, a degree may also be broken up into minutes and seconds. That is, 60 minutes ( 60′ ) equals 1 degree, and 60 seconds ( 60′′ ) equals 1 minute. Examples: 18°25′ + 15°52′ = 33°77′ = 34°17′ Note that we subtracted 60′ from 77′ and added 1° to 33° . 18°25′ − 15°52′ = 17°85′ − 15°52′ = 2°33′ Note that we “borrowed” 1° from 18° and added 60′ to 25′ . Converting between degrees/minutes/seconds and decimal degrees should be mastered as early in this course as possible. This can be done by hand or by using the TI-83/4. The symbols for degrees and minutes are options #1 and #2 under the angle menu. The symbol for seconds is found by pressing alpha +. 1) Decimal degrees → degrees, minutes and seconds. a) By hand: 35.125° → 35° + .125(60′ ) → 35° + 7.5′ → 35°7′ + .5(60′′) → 35°7′30′′ . b) Using the TI-83/4: Enter 35.125° , then press 2nd angle #4 enter. The calculator should now read the correct result, 35°7′30′′ . For Practice: Convert 83.6572° to degrees/minutes/seconds, accurate to the nearest second. Try this by hand, and check your answer with your calculator. 2) Minutes and seconds → decimal degrees 7 30 ° + ° → 35.125° . This works because each minute 60 3600 a) By hand: 35°7′30′′ → 35° + represents 1/60 of a degree, and each second represents 1/3600 of a degree. b) Using the TI-83/4: Enter 35°7′30′′ . Once the angle has been entered, simply press enter and the calculator will automatically convert to decimals. 35°7′30′′ enter → 35.125° . For Practice: Convert 27°18′25′′ to decimal degrees, with three-decimal-place accuracy. Try this by hand, and check your answer with your calculator. ...
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