My Learning Cart
?
Categories
Account

A person standing 40 meters away from a building observes the top of the buildin

₹0.0
Login to Download
  • 📥 Instant PDF Download
  • ♾ Lifetime Access
  • 🛡 Secure & Original Content

What’s inside this PDF?

Question: A person standing 40 meters away from a building observes the top of the building at an angle of elevation of 45 degrees. What is the height of the building?

Options:

  1. 20 m
  2. 40 m
  3. 30 m
  4. 10 m

Correct Answer: 40 m

Solution: 

Height = distance * tan(angle) = 40 * 1 = 40 m.

A person standing 40 meters away from a building observes the top of the buildin

Practice Questions

Q1
A person standing 40 meters away from a building observes the top of the building at an angle of elevation of 45 degrees. What is the height of the building?
  1. 20 m
  2. 40 m
  3. 30 m
  4. 10 m

Questions & Step-by-Step Solutions

A person standing 40 meters away from a building observes the top of the building at an angle of elevation of 45 degrees. What is the height of the building?
  • Step 1: Understand the situation. A person is standing 40 meters away from a building.
  • Step 2: The person looks up at the top of the building and sees it at an angle of elevation of 45 degrees.
  • Step 3: Recall that the angle of elevation is the angle between the horizontal line (where the person is standing) and the line of sight to the top of the building.
  • Step 4: Use the tangent function from trigonometry. The formula is: Height = distance * tan(angle).
  • Step 5: Plug in the values. The distance is 40 meters and the angle is 45 degrees.
  • Step 6: Calculate tan(45 degrees). The value of tan(45 degrees) is 1.
  • Step 7: Multiply the distance by the tangent value: Height = 40 meters * 1.
  • Step 8: The result is 40 meters. Therefore, the height of the building is 40 meters.
  • Trigonometry – The problem involves using the tangent function to relate the height of the building to the distance from the observer and the angle of elevation.
  • Angle of Elevation – Understanding how the angle of elevation relates to the height and distance in a right triangle.
Soulshift Feedback ×

On a scale of 0–10, how likely are you to recommend The Soulshift Academy?

Not likely Very likely
Home Practice Performance eBooks