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Suppose that you are headed toward a plateau 21 meters high. If the angle of elevation to the top of the plateau is 25^(@), how far are you from the base of the plateau?

Suppose that you are headed toward a plateau 2121 meters high. If the angle of elevation to the top of the plateau is 25∘ 25^{\circ} , how far are you from the base of the plateau?

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Full solution

Q. Suppose that you are headed toward a plateau 2121 meters high. If the angle of elevation to the top of the plateau is 25∘ 25^{\circ} , how far are you from the base of the plateau?
  1. Identify Triangle Formed: Identify the right triangle formed by the height of the plateau, the distance from the base, and the line of sight to the top. Use the tangent function, which relates the opposite side (height of the plateau) to the adjacent side (distance from the base).
  2. Solve for Distance: Solve for the distance by rearranging the equation.
  3. Calculate Using Tangent: Calculate using the tangent of 2525 degrees.

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