My Learning Cart
?
Categories
Account

A person is standing 25 meters away from a vertical pole. If the angle of elevat

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

What’s inside this PDF?

Question: A person is standing 25 meters away from a vertical pole. If the angle of elevation to the top of the pole is 60 degrees, what is the height of the pole?

Options:

  1. 25√3 meters
  2. 15 meters
  3. 20 meters
  4. 30 meters

Correct Answer: 25√3 meters

Solution: 

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

A person is standing 25 meters away from a vertical pole. If the angle of elevat

Practice Questions

Q1
A person is standing 25 meters away from a vertical pole. If the angle of elevation to the top of the pole is 60 degrees, what is the height of the pole?
  1. 25√3 meters
  2. 15 meters
  3. 20 meters
  4. 30 meters

Questions & Step-by-Step Solutions

A person is standing 25 meters away from a vertical pole. If the angle of elevation to the top of the pole is 60 degrees, what is the height of the pole?
  • Step 1: Understand the problem. You have a pole and a person standing 25 meters away from it.
  • Step 2: The angle of elevation to the top of the pole is 60 degrees. This means if you draw a line from the person's eyes to the top of the pole, it makes a 60-degree angle with the ground.
  • Step 3: Use the tangent function. In a right triangle, the tangent of an angle is equal to the opposite side (height of the pole) divided by the adjacent side (distance from the pole).
  • Step 4: Write the equation using the tangent of 60 degrees: tan(60°) = height / 25.
  • Step 5: We know that tan(60°) is equal to √3. So, we can rewrite the equation as √3 = height / 25.
  • Step 6: To find the height, multiply both sides of the equation by 25: height = 25 * √3.
  • Step 7: Calculate the height. The height of the pole is 25√3 meters.
  • Trigonometry – The problem involves using the tangent function to relate the angle of elevation to the height of the pole and the distance from the pole.
  • Right Triangle Properties – Understanding the relationship between the sides of a right triangle formed by the pole, the ground, and the line of sight.
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