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The top row of seats behind home plate at Cincinnati’s Great American Ball Park is 90 ft above the level of the playing field. The angle of depression to the base of the left field wall is 14 degrees. How far is the base of the left field wall from a point on level ground directly below the top row?

please answer with explanation and diagram if possible :)

Sagot :

Using the slope concept, it is found that the base of the left field wall is 361 feet from a point on level ground directly below the top row.

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 vertical change is of 90 ft.
  • The horizontal change is of x.
  • The angle of depression is of 14º.

Hence:

[tex]\tan{14^{\circ}} = \frac{90}{x}[/tex]

[tex]0.249328 = \frac{90}{x}[/tex]

[tex]0.249328x = 90[/tex]

[tex]x = \frac{90}{0.249328}[/tex]

[tex]x = 361[/tex]

Hence, the base of the left field wall is 361 feet from a point on level ground directly below the top row.

You can learn more about the slope concept at https://brainly.com/question/18090623

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