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

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Question: A flagpole is 12 meters tall. 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 tall. If a person standing 16 meters away from the base

Practice Questions

Q1
A flagpole is 12 meters tall. 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 tall. 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 – The question tests the understanding of the tangent function in right triangles, specifically how to calculate the tangent of an angle using the ratio of the opposite side to the adjacent side.
  • Angle of Elevation – The problem involves interpreting the angle of elevation from a point on the ground to the top of an object, which is a common application of trigonometry in real-world scenarios.
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