My Learning Cart
?
Categories
Account

A person is standing 40 meters away from a tower and sees the top of the tower a

₹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 tower and sees the top of the tower at an angle of elevation of 60 degrees. What is the height of the tower?

Options:

  1. 20√3 meters
  2. 40 meters
  3. 30 meters
  4. 10√3 meters

Correct Answer: 20√3 meters

Solution: 

Using tan(60) = height/40, height = 40 * √3 = 20√3 meters.

A person is standing 40 meters away from a tower and sees the top of the tower a

Practice Questions

Q1
A person is standing 40 meters away from a tower and sees the top of the tower at an angle of elevation of 60 degrees. What is the height of the tower?
  1. 20√3 meters
  2. 40 meters
  3. 30 meters
  4. 10√3 meters

Questions & Step-by-Step Solutions

A person is standing 40 meters away from a tower and sees the top of the tower at an angle of elevation of 60 degrees. What is the height of the tower?
  • Step 1: Understand the problem. A person is standing 40 meters away from a tower and sees the top of the tower at an angle of elevation of 60 degrees.
  • Step 2: Visualize the situation. Imagine a right triangle where one side is the height of the tower, the other side is the distance from the person to the tower (40 meters), and the angle between the ground and the line of sight to the top of the tower 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 tower) divided by the adjacent side (distance from the person to the tower). So, tan(60 degrees) = height / 40.
  • Step 4: Find the value of tan(60 degrees). The value of tan(60 degrees) is √3.
  • Step 5: Set up the equation. Now we can write the equation: √3 = height / 40.
  • Step 6: Solve for height. Multiply both sides of the equation by 40 to isolate height: height = 40 * √3.
  • Step 7: Calculate the height. The height of the tower is 40 * √3 meters.
  • Trigonometry – The problem involves using the tangent function to relate the angle of elevation to the height of the tower and the distance from the tower.
  • Right Triangle Properties – Understanding the properties of right triangles is essential, as the scenario describes a right triangle formed by the height of the tower, the distance from the tower, 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