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A flagpole is 20 meters tall. If a person standing 15 meters away from the base

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Question: A flagpole is 20 meters tall. If a person standing 15 meters away from the base of the flagpole looks up at an angle of elevation of 53 degrees, what is the height of the flagpole?

Options:

  1. 15 meters
  2. 20 meters
  3. 25 meters
  4. 30 meters

Correct Answer: 20 meters

Solution: 

Height = distance * tan(53) = 15 * 1.327 = 19.905 meters, approximately 20 meters.

A flagpole is 20 meters tall. If a person standing 15 meters away from the base

Practice Questions

Q1
A flagpole is 20 meters tall. If a person standing 15 meters away from the base of the flagpole looks up at an angle of elevation of 53 degrees, what is the height of the flagpole?
  1. 15 meters
  2. 20 meters
  3. 25 meters
  4. 30 meters

Questions & Step-by-Step Solutions

A flagpole is 20 meters tall. If a person standing 15 meters away from the base of the flagpole looks up at an angle of elevation of 53 degrees, what is the height of the flagpole?
  • Trigonometry – The problem involves using the tangent function to relate the height of the flagpole to the distance from the observer and the angle of elevation.
  • Angle of Elevation – Understanding how the angle of elevation relates to the height and distance in a right triangle.
  • Right Triangle Properties – Applying properties of right triangles to solve for unknown lengths using trigonometric ratios.
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