My Learning Cart
?
Categories
Account

A person standing 50 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 50 meters away from a building observes the top of the building at an angle of elevation of 60 degrees. How tall is the building?

Options:

  1. 25√3 meters
  2. 50 meters
  3. 30 meters
  4. 40 meters

Correct Answer: 25√3 meters

Solution: 

Using tan(60) = height / 50, height = 50 * tan(60) = 50 * √3 = 25√3 meters.

A person standing 50 meters away from a building observes the top of the buildin

Practice Questions

Q1
A person standing 50 meters away from a building observes the top of the building at an angle of elevation of 60 degrees. How tall is the building?
  1. 25√3 meters
  2. 50 meters
  3. 30 meters
  4. 40 meters

Questions & Step-by-Step Solutions

A person standing 50 meters away from a building observes the top of the building at an angle of elevation of 60 degrees. How tall is the building?
  • Step 1: Understand the problem. You are standing 50 meters away from a building and looking up at the top of the building at an angle of 60 degrees.
  • Step 2: Visualize the situation. Imagine a right triangle where one side is the height of the building, the other side is the distance from you to the building (50 meters), and the angle between the ground and your line of sight to the top of the building is 60 degrees.
  • Step 3: Use the tangent function. In a right triangle, the tangent of an angle is equal to the opposite side (height of the building) divided by the adjacent side (distance from the building). So, tan(60 degrees) = height / 50 meters.
  • Step 4: Rearrange the equation to find the height. Multiply both sides by 50 meters: height = 50 * tan(60 degrees).
  • Step 5: Calculate tan(60 degrees). The value of tan(60 degrees) is √3.
  • Step 6: Substitute the value of tan(60 degrees) into the equation: height = 50 * √3.
  • Step 7: Simplify the expression. The height of the building is 50√3 meters.
  • Trigonometry – The problem involves using the tangent function to relate the angle of elevation to the height of the building and the distance from the observer.
  • 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 observer is the adjacent side, and the angle of elevation is given.
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