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A flagpole is 12 meters high. If a person standing 16 meters away from the base

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Question: A flagpole is 12 meters high. If a person standing 16 meters away from the base of the flagpole sees the top of the flagpole at an angle of elevation of θ, what is tan(θ)?

Options:

  1. 0.75
  2. 0.6
  3. 0.5
  4. 0.8

Correct Answer: 0.75

Solution: 

tan(θ) = height/base = 12/16 = 0.75.

A flagpole is 12 meters high. If a person standing 16 meters away from the base

Practice Questions

Q1
A flagpole is 12 meters high. If a person standing 16 meters away from the base of the flagpole sees the top of the flagpole at an angle of elevation of θ, what is tan(θ)?
  1. 0.75
  2. 0.6
  3. 0.5
  4. 0.8

Questions & Step-by-Step Solutions

A flagpole is 12 meters high. If a person standing 16 meters away from the base of the flagpole sees the top of the flagpole at an angle of elevation of θ, what is tan(θ)?
  • Trigonometric Ratios – Understanding the relationship between the angles and sides of a right triangle, specifically using the tangent function.
  • Angle of Elevation – The angle formed by the line of sight from the observer to the top of an object above the horizontal line.
  • Right Triangle Properties – Applying properties of right triangles to solve for unknown angles or sides using known values.
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