Question

A kite of height 10 m is subtending an angle of 30${}^o$ from a point located at some distance from the base of the tower. Find the length of the line of sight at kite top.

• A. $15$ m
• B. $20$ m
• C. $10$ m
• D. $12$ m

Answer 1

The correct option is B $20$ m

$△ABC$ is a right-angled triangle.

$\sin {30}^o=\frac{AB}{AC}$

$\frac{1}{2}=\frac{10}{AC}$

$AC=10\times 2$

$AC=20$ m

So, option B is correct.