Trigonometric Equations Question 250

Question: If $ a=9,b=8 $ and $ c=x $ satisfies $ 3\cos C=2, $ then

[MP PET 1984]

Options:

A) $ x=5 $

B) $ x=6 $

C) $ x=4 $

D) $ x=7 $

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Answer:

Correct Answer: D

Solution:

  • $ \cos C=\frac{2}{3}=\frac{81+64-x^{2}}{2.9.8}\Rightarrow x^{2}=49\Rightarrow x=7 $ .