JAMB Mathematics 2020 Paper

Concept:The vertical rise forms the opposite side of a right-angled triangle, while the distance walked up the slope is the hypotenuse.Explanation:Let $h$ be the vertical height the surveyor rises.The slope angle is $30^{\circ}$ and the distance walked is $500$ m.Using the sine ratio: $\sin 30^{\circ} = \frac{h}{500}$.Make $h$ the subject: $h = 500 \sin 30^{\circ}$.We know that $\sin 30^{\circ} = \frac{1}{2}$.Substitute the value: $h = 500 \times \frac{1}{2}$.Simplify the product: $h = 250$ m.This matches the vertical height he rises through.Answer:The vertical height is $250$ m, so the correct option is C.