What is the length of the diagonal of the rectangle? Round to two decimal places
A. 7.61
B. 16.31
C. 19.86
D. 38.60

Answer:
Option C
Step-by-step explanation:
By the property of a rectangle,
"All interior angles of a rectangle measure 90°"
Therefore, m∠ABC = 90°
By applying cosine rule in the right triangle ABC,
cos(∠CAB) = [tex]\frac{\text{Adjacent side}}{\text{Hypotenuse}}[/tex]
cos(25°) = [tex]\frac{AB}{AC}[/tex]
AC = [tex]\frac{AB}{\text{cos}(25)}[/tex]
AC = [tex]\frac{18}{\text{cos}(25)}[/tex]
AC = 19.86
Therefore, Option C will be the answer.