The string of a kite is 100 meter long and it makes an angle of 30° with the horizontal. Find the height of the kite from ground.
Answer & explanation
Correct answer: option 2
The correct answer is Option (2) → 50 m
The string, the ground and the vertical height of the kite form a right triangle: the string is the hypotenuse, and the height is the side opposite the 30° angle, so the sine of 30° links them.
Opposite side over hypotenuse: \(\sin30^\circ=\displaystyle\frac{h}{100}\)
Height of the kite: \(h=100\times\displaystyle\frac{1}{2}=50\,\mathrm{m}\)