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

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Question: A flagpole is 20 meters tall. If a person is standing 15 meters away from the base of the flagpole, what is the angle of elevation to the top of the flagpole?

Options:

  1. 53.13 degrees
  2. 60 degrees
  3. 45 degrees
  4. 30 degrees

Correct Answer: 53.13 degrees

Solution:

tan(θ) = height/distance = 20/15; θ = arctan(4/3) = 53.13 degrees.

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

Practice Questions

Q1
A flagpole is 20 meters tall. If a person is standing 15 meters away from the base of the flagpole, what is the angle of elevation to the top of the flagpole?
  1. 53.13 degrees
  2. 60 degrees
  3. 45 degrees
  4. 30 degrees

Questions & Step-by-Step Solutions

A flagpole is 20 meters tall. If a person is standing 15 meters away from the base of the flagpole, what is the angle of elevation to the top of the flagpole?
  • Trigonometry – The problem involves using the tangent function to find the angle of elevation based on the height of the flagpole and the distance from it.
  • Right Triangle Properties – Understanding the relationship between the sides of a right triangle and the angles formed, specifically in the context of elevation.
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