Meena flies a kite on an 80 m long string, held tight in a straight line. The string makes an angle of \(60^\circ\) with the level ground. Ignoring the height of her hand above the ground, how high is the kite?
Answer & explanation
Correct answer: option 1
The correct answer is Option (1) → \(40\sqrt{3}\) m
The string, the ground and the vertical line from the kite form a right-angled triangle with the string as the hypotenuse. The height is the side opposite the \(60^\circ\) angle, so it is found with the sine.
\(\sin 60^\circ=\displaystyle\frac{\text{height}}{80}\)
Height \(=80\times\displaystyle\frac{\sqrt{3}}{2}=40\sqrt{3}\) m
