Respuesta :

Answer:

CD = (3√2)/2 = 2.12 in.

Step-by-step explanation:

Reference angle = m<BCD = 45°

Hypotenuse = BC = 3 in.

Adjacent side = CD = ??

Apply trigonometric ratio

Cos(45) = CD/3

Multiply both sides by 3

3*Cos(45) = CD

3*√2/2 = CD (cos 45 = √2/2)

(3√2)/2 = CD

CD = (3√2)/2 = 2.12