anonymous
  • anonymous
what is the measure of the reference angle for 142 degrees 40' 35" ?
Mathematics
  • Stacey Warren - Expert brainly.com
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SOLVED
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chestercat
  • chestercat
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jdoe0001
  • jdoe0001
what do they mean by a "reference"?
jdoe0001
  • jdoe0001
what's a reference angle?
anonymous
  • anonymous
the angle of less than 360 degrees that corresponds to an angle of over 360 degrees

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jdoe0001
  • jdoe0001
well, a so-called reference angle is really the "cast shadow" of the angle you have so \^142^o 40' 35" lands on the II quadrant, now if you were to say, have it CAST A SHADOW downward, that shaded section will be the reference angle
jdoe0001
  • jdoe0001
woops, missed something there :/
jdoe0001
  • jdoe0001
well, a so-called reference angle is really the "cast shadow" of the angle you have so \(142^o 40' 35"\) lands on the II quadrant, now if you were to say, have it CAST A SHADOW downward, that shaded section will be the reference angle
anonymous
  • anonymous
oh okay, i sort of get it more now, thanks, but what do you mean about the shaded section being the reference angle?
jdoe0001
  • jdoe0001
so, the "ground where the shadow is being cast", is really the "x" axis keep in mind that reference angles are per Quadrant so this angle you have, is in the 2nd quadrant, so we're looking at \(142^o40'35" = 90 + 52^o40'35"\) so the "cast shadow" on the 2nd Quadrant, will be \(90- 52^o40'35"\)
anonymous
  • anonymous
so would that be the final answer?? :)
jdoe0001
  • jdoe0001
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jdoe0001
  • jdoe0001
the answer will be \(90- 52^o40'35"\)
jdoe0001
  • jdoe0001
the 142 angle is taking up ALL 90 degrees of the 1 Quadrant, and eating up \(52^o40'35"\) of the 2nd Quadrant, so the reference angle is whatever the 2nd Quadrant has left after \(52^o40'35"\) has been "eaten up" from it
anonymous
  • anonymous
okay, well thank you sooooo muchhh!! :) i really appreciated your help!

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