Question

The diagonal in a rectangle is 20 units long, and the angle between the diagonal and a side is 36º 42'.

Answer 1

Side adjacent to the given angle: x
Diagonal=hypotenuse=20
cos (36° 42') =(side adjacent to angle 36° 42')/Hypotenuse
cos (36° 42')=x/20
Solving for x. Multiplying both sides of the equation by 20:
20 cos (36° 42')=20 (x/20)
20 cos (36° 42')=x
x=20 cos (36° 42')
x=20 (0.801775644)
x=16.03551288
x=16.04

Answer: Option D. 16.04