Question

Choose the correct answer from the alternatives given.
A kite is flying at a height of 75 m from the level ground. Attached to a string inclined at ${60}^{\circ }$ to the horizontal. The length of the string is

• A. 50$\sqrt{2}$m
• B. 50$\sqrt{3}$m
• C. $\frac{50}{\sqrt{2}}$m
• D. $\frac{50}{\sqrt{3}}$m

Answer 1

The correct option is B 50$\sqrt{3}$m

R.E.F image

Let the length of the strina be x meters.

in $\Delta ABC,$

$sin{60}^{\circ }=\frac{75}{x}$

$\frac{\sqrt{3}}{2}=\frac{75}{x}$

$x=\frac{150}{\sqrt{3}}=50\sqrt{3}m.$