WAEC Mathematics 2022 Paper

Concept:The ladder, the wall, and the ground form a right triangle.The sine ratio is used to find the height opposite the given angle.Explanation:Let the height reached on the wall be $x$ metres.The ladder is the hypotenuse, so hypotenuse $= 6$ m.The angle between the ladder and the horizontal ground is $53^\circ$.The height $x$ is opposite to this angle.Using $\sin \theta = \frac{\text{opposite}}{\text{hypotenuse}}$:$\sin 53^\circ = \frac{x}{6}$.Cross multiply to get $x = 6 \times \sin 53^\circ$.Since $\sin 53^\circ = 0.7986$, we have:$x = 6 \times 0.7986 = 4.7916$ m.Rounding to three decimal places gives $x = 4.792$ m.Answer:C. $4.792$ m