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Trigonometry

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Moderate

Area, Triangle, Unknown Angles, Two Known Sides

TRIG-UKDQY3

Given a $\text{ triangle ABC}$ with $\text{ side AB}=11.9\;cm$ and $\text{ side AC}=8.5\;cm$ and an $\text{ area }=24.1\;cm^{2}$, find the measure of $\text{ angle A}$ to the nearest tenth of a degree.

A

${28.5 }^{ o}$

B

${61.5}^{ o}$

C

${25.5 }^{ o}$

D

${28.4 }^{ o}$