A straight wheelchair ramp runs from the level ground up to a doorway 3 m above the ground, and the ramp makes an angle of \(30^\circ\) with the ground. Find the length of the ramp.
Answer & explanation
Correct answer: option 4
The correct answer is Option (4) → 6 m
The ramp, the ground and the vertical rise form a right-angled triangle with the ramp as the hypotenuse. The 3 m rise is the side opposite the \(30^\circ\) angle, so the sine links it with the ramp.
\(\sin 30^\circ=\displaystyle\frac{3}{L}\)
\(L=\displaystyle\frac{3}{1/2}=6\) m
