My Learning Cart
?
Categories
Account

A man is standing 10 meters away from a vertical pole. If he looks up at an angl

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

What’s inside this PDF?

Question: A man is standing 10 meters away from a vertical pole. If he looks up at an angle of 30° to see the top of the pole, what is the height of the pole?

Options:

  1. 5 meters
  2. 10 meters
  3. 15 meters
  4. 20 meters

Correct Answer: 10 meters

Solution: 

Using tan(30°) = height/10, height = 10 * tan(30°) = 10 * (1/√3) = 10/1.732 = 5.77 meters.

A man is standing 10 meters away from a vertical pole. If he looks up at an angl

Practice Questions

Q1
A man is standing 10 meters away from a vertical pole. If he looks up at an angle of 30° to see the top of the pole, what is the height of the pole?
  1. 5 meters
  2. 10 meters
  3. 15 meters
  4. 20 meters

Questions & Step-by-Step Solutions

A man is standing 10 meters away from a vertical pole. If he looks up at an angle of 30° to see the top of the pole, what is the height of the pole?
  • Step 1: Understand the situation. A man is standing 10 meters away from a vertical pole and looking up at an angle of 30° to see the top of the pole.
  • Step 2: Visualize the scenario. Imagine a right triangle where one side is the height of the pole, the other side is the distance from the man to the pole (10 meters), and the angle between the ground and the line of sight to the top of the pole is 30°.
  • 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 man to the pole). So, tan(30°) = height / 10.
  • Step 4: Rearrange the equation to find the height. Multiply both sides by 10: height = 10 * tan(30°).
  • Step 5: Calculate tan(30°). The value of tan(30°) is 1/√3 (approximately 0.577).
  • Step 6: Substitute the value of tan(30°) into the equation: height = 10 * (1/√3).
  • Step 7: Calculate the height. This gives height = 10 / √3, which is approximately 10 / 1.732.
  • Step 8: Perform the final calculation: height ≈ 5.77 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