Question

What is the length of the diagonal of the rectangle? Round to two decimal places

Answer 1

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) = $\frac{\text{Adjacent side}}{\text{Hypotenuse}}$

cos(25°) = $\frac{AB}{AC}$

AC = $\frac{AB}{\text{cos}(25)}$

AC = $\frac{18}{\text{cos}(25)}$

AC = 19.86

Therefore, Option C will be the answer.