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Question 487068: find the angle that is complementary to theata?
a) 63°4'15''
b) 82.73°
Answer by cleomenius(959)   (Show Source):
You can put this solution on YOUR website! For a, first I converted the angle to degrees.
First convert the minutes, 4, to a decimal part.
We know that 60 minutes = 1 degree, each minute is 1/60 of a degree.
thus, 4' is 4/60 = 4/60 of a degree, = 0.067 of a degree.
1 second = 1/3600 of a degree, so 40'' = 40/3600 of a degree = 0.0111.
Thus, 63 degrees 4' 15'' = 63 + 0.067 + 0.011 = 63.078 degrees.
The complement is this angle subtracted from 90, or 26.922.
A good website for this is http://www.sunearthtools.com/dp/tools/conversion.php
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For b, 90 - 82.73 = 7.27 degrees.
Cleomenius.
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