Asked by brendan

Astronomers sometimes use angle measures divided into degrees, minutes, and seconds. One degree is equal to 60 minutes, and one minute is equal to 60 seconds. Suppose that <J and <K are complementary, and that the measure of <J is 48 degrees, 26 minutes, 8 seconds. what is the measure of <K.

Answers

Answered by Reiny
It is unfortunate that measurement of angles, and time, has escaped the metric system.
Things would be so much easier.

K = 90° - 48° 26' 8"
= 89° 59' 60" - 48°26'8"
= 41° 33' 52"

Hint:
If you have a good scientific calculator, look for key labeled
D°M'S
it will do all your calculations in base 60
enter
90 DMS
-
48 DMS 26 DMS 8 DMS
=
and voila! there is your answer

btw, that same key can be used to do arithmetic of addition/subtraction of different times.
e.g. 5:12:45 + 4:55:12
= 10:07:57
Answered by Tj
this did not help!!!!!!!!!!!!!!!
Answered by anywho
answer answer
Answered by jcbush
The answer is 41 degrees and 52 seconds.... borrow 1 from the complementary 90 degrees and make it 89 degrees and 60 mins subract the 48 degrees and 8 seconds -48 26 mins 8 seconds
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