WAEC Mathematics 2012 Paper

Concept:The string forms the hypotenuse of a right-angled triangle, and the height of the kite is the side opposite the angle of inclination.Explanation:Let the vertical height of the kite be $h$ metres.The length of the taut string is $50$ m, and it acts as the hypotenuse.The string makes an angle of $54^\circ$ with the horizontal ground.To relate the height to the hypotenuse, use the sine ratio: $\sin \theta = \frac{\text{opposite}}{\text{hypotenuse}}$.Here, the side opposite the $54^\circ$ angle is the height $h$.Therefore, $\sin 54^\circ = \frac{h}{50}$.Multiplying both sides by $50$ gives $h = 50 \sin 54^\circ$.Answer:B. $50 \sin 54^\circ$