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?

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.
---------
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
============
Cheers,
Stan H.
RELATED QUESTIONS
The Diagonal of a Rectangle is 25 cm. long and makes an angle of 20 degrees with one side (answered by TimothyLamb)

A rectangle is 4.5cm long and 24mm wide. Find the angle between diagonal and shorter... (answered by addingup,Aldorozos)

What is the diagonal of a 20 ft wide and 24 ft long rectangle? (answered by Alan3354)

The diagonal of a rectangle is 25 meters long and makes an angle of 36� with one side of... (answered by jsmallt9)

The diagonal of a rectangle is 14 cm long and makes an angle of 35 degrees with a side (answered by ewatrrr)

Find the length of a diagonal of a rectangle that is 16 units long and 12 units... (answered by rwm)

A side and a diagonal of a parallelogram are 12 inches and 19 inches respectively. The... (answered by Edwin McCravy)

The diagonal of a rectangle is 8cm and the diagonal makes a 45 degree angle with a side.... (answered by scianci,stanbon)

If the diagonal of a rectangle is 15 and the perimeter of the rectangle is 42, what is... (answered by Fombitz)