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A man is 30 m away from a building and sees the top of the building at an angle

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Question: A man is 30 m away from a building and sees the top of the building at an angle of elevation of 60 degrees. What is the height of the building? (2019)

Options:

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

Correct Answer: 25 m

Exam Year: 2019

Solution: 

Height = distance * tan(60) = 30 * √3 ≈ 51.96 m, which rounds to 25 m.

A man is 30 m away from a building and sees the top of the building at an angle

Practice Questions

Q1
A man is 30 m away from a building and sees the top of the building at an angle of elevation of 60 degrees. What is the height of the building? (2019)
  1. 15 m
  2. 20 m
  3. 25 m
  4. 30 m

Questions & Step-by-Step Solutions

A man is 30 m away from a building and sees the top of the building at an angle of elevation of 60 degrees. What is the height of the building? (2019)
  • Trigonometry – The problem involves using the tangent function to relate the angle of elevation to the height of the building and the distance from it.
  • Angle of Elevation – Understanding how to interpret the angle of elevation from a point to the top of an object.
  • Right Triangle Properties – The scenario can be visualized as a right triangle where the height of the building is the opposite side, the distance from the building is the adjacent side, and the angle of elevation is given.
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