Using (bigtriangleup)XYZ in the figure, find XYZ

Correct Answer: Option D

Explanation

(frac{sin y}{3} = frac{sin 120^o}{5})
sin 120^o = sin 60^o
5 sin y = 3 sin 60^o
sin y = (frac{3 sin 60^o}{5})
(frac{3 times 0.866}{5})
= (frac{2.598}{5})
y = sin^-1 0.5196 = 30^o 18′