My Learning Cart
?
Categories
Account

A man is 50 meters away from a tower. If he looks at the top of the tower at an

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

What’s inside this PDF?

Question: A man is 50 meters away from a tower. If he looks at the top of the tower at an angle of elevation of 45 degrees, what is the height of the tower?

Options:

  1. 50 meters
  2. 25 meters
  3. 75 meters
  4. 100 meters

Correct Answer: 50 meters

Solution: 

Height = distance * tan(45) = 50 * 1 = 50 meters.

A man is 50 meters away from a tower. If he looks at the top of the tower at an

Practice Questions

Q1
A man is 50 meters away from a tower. If he looks at the top of the tower at an angle of elevation of 45 degrees, what is the height of the tower?
  1. 50 meters
  2. 25 meters
  3. 75 meters
  4. 100 meters

Questions & Step-by-Step Solutions

A man is 50 meters away from a tower. If he looks at the top of the tower at an angle of elevation of 45 degrees, what is the height of the tower?
  • Step 1: Understand that the man is looking at the top of the tower from a distance of 50 meters.
  • Step 2: Know that the angle of elevation is the angle between the horizontal line (where the man is standing) and the line of sight to the top of the tower.
  • Step 3: The angle of elevation given is 45 degrees.
  • Step 4: Use the tangent function, which relates the height of the tower to the distance from the tower. The formula is: height = distance * tan(angle).
  • Step 5: Substitute the values into the formula: height = 50 meters * tan(45 degrees).
  • Step 6: Remember that tan(45 degrees) equals 1.
  • Step 7: Calculate the height: height = 50 meters * 1 = 50 meters.
  • Step 8: Conclude that the height of the tower is 50 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.
  • Angle of Elevation – Understanding the concept of angle of elevation is crucial for solving problems involving heights and distances.
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