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.
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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.