Geometry Fundamentals: Slope 1

Geometry Level 1

Ramps are carefully designed to provide easy access for wheelchairs, carts, dollies, etc. Which ramp has a greater slope?

Ramp A Ramp B Ramps A and B have the same slope

Brilliant Mathematics by Brilliant Mathematics

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2 solutions

Brilliant Mathematics Staff
Aug 1, 2020

The slope of Ramp A is 8 60 = 2 15 . \frac{8}{60} = \frac{2}{15}.

The slope of Ramp B is 5 40 = 1 8 . \frac{5}{40} = \frac{1}{8}.

1 8 = 2 16 \frac{1}{8} = \frac{2}{16} and 2 16 < 2 15 \frac{2}{16} < \frac{2}{15} so Ramp A has a steeper slope.

4 Helpful 0 Interesting 2 Brilliant 0 Confused
Mahdi Raza
Aug 4, 2020

If the orange sliver is added onto Ramp A, both have the same slope of 1 8 \dfrac{1}{8} , when it is removed, obviously the original Ramp A get's steeper, hence it has a greater slope.

4 Helpful 0 Interesting 3 Brilliant 0 Confused

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