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Question 210916: find the angle complementary to the angle 80°25'.
Answer by Theo(13342)   (Show Source):
You can put this solution on YOUR website! angle complementary to 80 degrees 25 minutes is 90 degrees 0 minutes minus 80 degrees 25 minutes.
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90 degrees 0 minutes is the same as 89 degrees 60 minutes.
89 degrees 60 minutes minus 80 degrees 25 minutes equals:
9 degrees 35 minutes.
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your answer is:
9 degrees 35 minutes
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degrees can be measured in degrees minutes seconds
there are 60 seconds to a minute
there are 60 minutes to a degree
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you can convert degrees in minutes seconds format to degrees in decimal format by:
dividing the seconds by 60 to get minutes
add these minutes to the existing minutes.
dividing the minutes by 60 to get degrees
add these degrees to the existing degrees.
the result is degrees in decimal format.
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example:
80 degrees 31 minutes 48 seconds can be converted to decimal format by:
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dividing 48 seconds by 60 to get .8 minutes
add .8 minutes to 31 minutes to get 31.8 minutes
divide 31.8 minutes by 60 to get .53 degrees
add .53 degrees to 80 degrees to get 80.53 degrees.
80 degrees 31 minutes 48 seconds is equivalent to 80.53 degrees.
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you can convert degrees in decimal format to degrees in minute second format by:
subtracting the integer portion of the degrees from the total degrees to leave the fractional part.
multiply the fractional part of the degrees by 60 to get minutes.
subtract the integer portion of the minutes from the total minutes to leave the fractional part.
multiply the fractional part of the minutes by 60 to get seconds.
the result is the degrees in minute second format.
example:
take the 80.53 degrees that we derived earlier.
subtract 80 degrees integer part to get .53 degrees fractional part.
multiply .53 degrees by 60 to get 31.8 minutes
subtract 31 minutes integer part to get .8 minutes fractional part.
multiply by 60 to get 48 seconds
add degrees and minutes and seconds together to get:
80 degrees 31 minutes 48 seconds
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80.53 degrees is equivalent to 80 degrees 31 minutes 48 seconds
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your problem was solved directly, but could have been solved by converting to decimal format and then converting back again.
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take 80 degrees 25 minutes
divide 25 minutes by 60 to get .41666666667 degrees.
add .41666666667 degrees to 80 degrees to get 80.41666666667 degrees.
subtract 80.41666666667 degrees from 90 degrees to get the complementary angle of 9.5833333333 degrees.
take the complementary angle of 9.5833333333 degrees and convert to minutes second format.
9.5833333333 minus 9 = .5833333333 degrees fractional part.
.5833333333 * 60 = 35 minutes
complementary angle is 9 degrees 35 minutes.
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this is the same answer that we derived earlier using direct subtraction in minute second format.
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