Answer:
B. √3 inches
Step-by-step explanation:
Apply trigonometry ratio to solve for AB
AB = DC (opposite sides of a rectangle are equal)
Given,
reference angle (θ) = 30°
Hypotenuse = BD = 2
Adjacent = DC = ?
Apply CAH, which is:
Cos θ = Adj/Hyp
Substitute
Cos 30° = DC/2
2*Cos 30° = DC
2*√3/2 = DC (Cos 30° = √3/2)
DC = √3 in.
AB = DC. Therefore,
AB = √3 inches
