sarahsmallwood0
sarahsmallwood0 sarahsmallwood0
  • 20-02-2019
  • Mathematics
contestada

The angle of depression on I-24 in Mont Eagle, Tennessee is 4°. For every mile of road (diagonally), what is the change in height in miles? In feet?

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jdoe0001 jdoe0001
  • 20-02-2019

Check the picture below.

so that's the angle of depression, namely the angle below the horizontal.

if we use a diagonal mile only, namely hypotenuse = 1, as you see there, then we can check what the opposite side will be, in miles.

how many feet is that?

well, there are 5280 feet in 1 mile, so that'd be 0.069756 * 5280 ≈ 368.31 feet.

Ver imagen jdoe0001
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