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A skier is going down an incline whose angle of elevation is 36 . If she has a total vertical drop down the slope of 92 meters, what is the total distance that she travels down the slope from point A to point B to the nearest meter?

Respuesta :

Using the slope concept, it is found that the total distance that she travels from point A to point B is of 127 meters.

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:

  • The angle is of 36º.
  • The vertical change is of 92 m.
  • The horizontal change is of x.

Hence:

tan(36º) = 92/x

x = 92/tan(36º)

x = 127

The total distance that she travels from point A to point B is of 127 meters.

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

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