Geometry Fundamentals: Slope 2

Geometry Level 1

When driving uphill, you see a sign that looks like this one.

What does this sign mean?

The road rises 1.2 units for every 100 units of horizontal distance The road rises 12 units for every 100 units of horizontal distance The road makes an angle of 1 2 12^\circ with the horizontal The road rises 1 unit for every 12 units of horizontal distance

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2 solutions

Brilliant Mathematics Staff
Aug 1, 2020

12% can be written as a fraction as 12 100 . \frac{12}{100}. If the grade of a road is 12%, then its slope is 12 100 , \frac{12}{100}, meaning that the road rises 12 vertical feet for every 100 horizontal feet.

Mahdi Raza
Aug 4, 2020

A 12% slope indicates that slope which is Δ y Δ x = 12 100 \dfrac{\Delta y}{\Delta x} = \dfrac{12}{100} , which implies:

The road rises 12 units for every 100 units of horizontal distance \boxed{\text{The road rises 12 units for every 100 units of horizontal distance}}

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