Trigonometric Equations Question 321

Question: If $ A=60^{o} $ , $ a=5,b=4\sqrt{3} $ in $ \Delta ABC $ , then B =

Options:

A) $ 30^{o} $

B) $ 60^{o} $

C) $ 90^{o} $

D) None of these

Show Answer

Answer:

Correct Answer: D

Solution:

  • $ \frac{a}{\sin A}=\frac{b}{\sin B} $
    Þ $ \sin B=\frac{(b\sin A)}{a}=\frac{(4\sqrt{3}\sin 60^{o})}{5}=\frac{6}{5}>1 $ , which is inadmissible.