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

If the length of AB doubles what will happen to the Length of AC?

A) remains same

B) doubles the original lengthy

C) become three times the original length

D) become half of the original length

Correct Answer: B

Solution :

Given \[AB=2\times 4=8ft\]

\[\therefore \] In \[\Delta ABC,\] \[\sin 30{}^\circ =\frac{AB}{AC}\Rightarrow \frac{1}{2}=\frac{8}{AC}\,\Rightarrow AC=16\]

So, AC doubles the original length.

So, option [b] is correct.