question_answer

In a right triangle, the hypotenuse is 2 times as long as its one side. One of the acute angle is:

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

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

C) \[75{}^\circ \]

D) \[25{}^\circ \]

Correct Answer: B

Solution :

[b] Let \[AB=x\]

\[\Rightarrow \,\,\,\,\,\,\,\,\,\,\,AC=2x.\]

\[\therefore \,\,\,\,\,\,\,\,\,\sin C=\frac{AB}{AC}\]

\[=\frac{x}{2x}=\frac{1}{2}\]

\[\Rightarrow \,\,\,\,\,\,\,\,\,\,\,C=30{}^\circ \]