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A flagpole is 12 meters tall. If the angle of elevation from a point 16 meters a

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Question: A flagpole is 12 meters tall. If the angle of elevation from a point 16 meters away from the base of the flagpole is θ, what is tan(θ)?

Options:

  1. 0.75
  2. 0.5
  3. 0.8
  4. 1

Correct Answer: 0.75

Solution:

tan(θ) = height/distance = 12/16 = 0.75.

A flagpole is 12 meters tall. If the angle of elevation from a point 16 meters a

Practice Questions

Q1
A flagpole is 12 meters tall. If the angle of elevation from a point 16 meters away from the base of the flagpole is θ, what is tan(θ)?
  1. 0.75
  2. 0.5
  3. 0.8
  4. 1

Questions & Step-by-Step Solutions

A flagpole is 12 meters tall. If the angle of elevation from a point 16 meters away from the base of the flagpole is θ, what is tan(θ)?
  • Trigonometric Ratios – Understanding the relationship between the angles and sides of a right triangle, specifically the tangent function which is the ratio of the opposite side to the adjacent side.
  • Right Triangle Properties – Recognizing that the scenario describes a right triangle formed by the flagpole, the ground, and the line of sight to the top of the flagpole.
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