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2. MOUNTAIN BIKING On a mountain bike trip along the Gemini Bridges Trail in Moab, Utah,
Nabuko stopped on the canyon floor to get a good view of the twin sandstone bridges, Nabuko
is standing about 60 meters from the base of the canyon cliff, and the natural arch bridges are
about 100 meters up the canyon wall. If her line of sight is 5 meters above the ground, what is
the angle of elevation to the top of the bridges? Round to the nearest tenth degree.

Sagot :

Using the slope concept, it is found that the angle of elevation to the top of the bridges is of 57.7º.

What is a slope?

The slope is given by the vertical change divided by the horizontal change.

It's also the tangent of the angle of depression.

In this problem:

  • The horizontal change is of 60 m.
  • The vertical change is of 100 - 5 = 95 m.

Hence:

[tex]\tan{\alpha} = \frac{95}{60}[/tex]

[tex]\alpha = \arctan{\left(\frac{95}{60}\right)}[/tex]

[tex]\alpha = 57.7[/tex]

The angle of elevation to the top of the bridges is of 57.7º.

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

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