Discussion
A slope of 1 in 20 is what percentage gradient, and roughly what angle?
Answer: B
Correct answer: 5 per cent, about 3 degrees
\[ \frac{1}{20} = 0.05 = 5\%, \qquad \arctan(0.05) = 2.86^{\circ}. \] Per cent and degrees are easily confused because they are close for gentle slopes - a 5 per cent grade is under 3 degrees - but they diverge sharply as the slope steepens, since 100 per cent is 45 degrees and no percentage corresponds to vertical.
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