My Learning Cart
?
Categories
Account

A person is standing 40 meters away from a statue. If the angle of elevation to

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

What’s inside this PDF?

Question: A person is standing 40 meters away from a statue. If the angle of elevation to the top of the statue is 60 degrees, what is the height of the statue?

Options:

  1. 20√3 meters
  2. 40√3 meters
  3. 60√3 meters
  4. 80√3 meters

Correct Answer: 20√3 meters

Solution: 

Height = distance * tan(60) = 40 * √3 = 20√3 meters.

A person is standing 40 meters away from a statue. If the angle of elevation to

Practice Questions

Q1
A person is standing 40 meters away from a statue. If the angle of elevation to the top of the statue is 60 degrees, what is the height of the statue?
  1. 20√3 meters
  2. 40√3 meters
  3. 60√3 meters
  4. 80√3 meters

Questions & Step-by-Step Solutions

A person is standing 40 meters away from a statue. If the angle of elevation to the top of the statue is 60 degrees, what is the height of the statue?
  • Step 1: Understand the problem. You have a person standing 40 meters away from a statue and looking up at the top of the statue at an angle of 60 degrees.
  • Step 2: Visualize the situation. Imagine a right triangle where one side is the height of the statue, the other side is the distance from the person to the base of the statue (40 meters), and the angle between the ground and the line of sight to the top of the statue 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 statue) divided by the adjacent side (distance from the person to the statue). So, tan(60 degrees) = height / 40 meters.
  • Step 4: Rearrange the formula to find the height. Height = distance * tan(60 degrees).
  • Step 5: Calculate tan(60 degrees). The value of tan(60 degrees) is √3.
  • Step 6: Substitute the values into the formula. Height = 40 * √3.
  • Step 7: Simplify the expression. Height = 40√3 meters.
  • Trigonometry – The problem involves using the tangent function to relate the angle of elevation to the height of the statue and the distance from the observer.
  • Angle of Elevation – Understanding the concept of angle of elevation is crucial for solving problems involving heights and distances.
  • Right Triangle Properties – The scenario can be visualized as a right triangle where the height of the statue is the opposite side and the distance from the statue is the adjacent side.
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