A wheelchair ramp is 9 m long and meets the ground at one end while touching the…
MATHEMATICS · Subjective · CBSE · Mathematics · The Baudhayana-Pythagoras Theorem · The Baudhayana-Pythagoras Theorem
Problem
A wheelchair ramp is 9 m long and meets the ground at one end while touching the doorway sill at the other. The horizontal distance between the foot of the ramp and the wall of the building is 7 m.
(i) Determine the vertical height of the doorway above the ground.
(ii) Express your answer from part (i) in its simplest radical form.
(iii) If building regulations require the ramp to rise no more than 1 m for every 12 m of horizontal run, state whether this ramp is within the prescribed limit, showing your working.