SOLUTION: The diagonal in a rectangle is 20 units long, and the angle between the diagonal and a side is 36 degrees 42' minutes. What is the length of the side adjacent to the given angle?
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Question 86384: The diagonal in a rectangle is 20 units long, and the angle between the diagonal and a side is 36 degrees 42' minutes. What is the length of the side adjacent to the given angle? Use "natural" trigonomic functions and round your answer to four significant digits. Answer by stanbon(75887) (Show Source):
You can put this solution on YOUR website! The diagonal in a rectangle is 20 units long, and the angle between the diagonal and a side is 36 degrees 42' minutes. What is the length of the side adjacent to the given angle? Use "natural" trigonomic functions and round your answer to four significant digits.
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Draw the picture; the diagonal is the hypotenuse of a rt. triangle
with an acute angle of 36 degrees 42 min.
EQUATION:
Since you want the side adjacent to the angle use cosine:
Let the adjacent side be "x".
cos(36 41') = cos(36.68 degrees) = x/20
x = 20cos(36.68)
x = 16.0397 units
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Cheers,
Stan H.
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