10th Class Mathematics Introduction to Trigonometry Question Bank Case Based (MCQs) - Introduction to Trigonometry

Measure of \[\angle C=\]

A) \[30{}^\circ \]

B) \[60{}^\circ \]

C) \[45{}^\circ \]

D) None of these

Correct Answer: C

Solution :

In \[\Delta BDC,\] \[\tan C=\frac{BD}{DC}=\frac{6}{6}\] [Using eq. (1)]

\[\Rightarrow \,\,\,\,\,\,\,\,\,\,\,\,\tan C=1=\tan 45{}^\circ \,\,\,\,\,\,\Rightarrow \,\,\,\,\angle C=45{}^\circ \]

So, option [c] is correct.