# Math

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How do i figure out this question?

There are two roads, one has a grade of 20% the other has an elevation of 15 degrees. Which road would be steeper?

• Math -

Hmmm. What is the tangent of 15 degrees? is it greater than .20?

• Math -

The 20% usually refers to the slope of the road.
But the slope of a line is the tangent of the angle it makes with a horizontal
so if tan Ø = ,2
Ø = 11.3°

so ......

• Math -

If it takes 3.7 seconds for a sound to reach the bottom of the ocean how deep is the water

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