Using the cosine ratio, the length of line segment AB is: B. √3 inches.
What is the Cosine Ratio?
The cosine ratio is one of the Trigonometric ratios that is used to solve a right triangle and it is expressed as: cos ∅ = adjacent side / hypotenuse.
m∠B (∅) = 90 - 60 = 30°
BD = 2 (hyp)
AB = ? (adj)
Applying the cosine ratio, we have:
cos 30 = AB/2
AB = (cos 30)(2)
AB = (√3/2)(2)
AB = √3
Length of line segment AB is: B. √3 inches.
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