Trigonometric Equations Question 254

Question: If $ A=30^{o},c=7\sqrt{3} $ and $ C=90^{o} $ in $ \Delta ABC $ , then a =

Options:

A) $ 7\sqrt{3} $

B) $ \frac{7\sqrt{3}}{2} $

C) $ \frac{7}{2} $

D) None of these

Show Answer

Answer:

Correct Answer: B

Solution:

  • Since $ C=90^{o} $ Hence $ a=\frac{c\sin A}{\sin C}=\frac{7\sqrt{3}\sin 30^{o}}{\sin 90{}^\circ }=\frac{7\sqrt{3}}{2} $ .