a sign at the summit of a mountain pass says that the grade for the next 5 miles of straight driving is 4.2 degrees. Determine the change of elevation in feet for a car at the end of the 5 mile drive

Respuesta :

Using the slope concept, it is found that the change of elevation for a car at the end of the 5 mile drive is of 0.3672 miles.

What is a slope?

The slope is given by the vertical change divided by the horizontal change, and it's also the tangent of the angle of depression.

In this problem, we have that:

  • The vertical change is the change of elevation.
  • The horizontal change is of 5 miles.
  • The angle is of 4.2º.

Hence:

tan(4.2º) = h/5

h = 5 x tan(4.2º)

h = 0.3672.

The change of elevation for a car at the end of the 5 mile drive is of 0.3672 miles.

More can be learned about the slope concept at https://brainly.com/question/18090623

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