My Learning Cart
?
Categories
Account

A person is standing 30 meters away from a flagpole. If the angle of elevation t

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

What’s inside this PDF?

Question: A person is standing 30 meters away from a flagpole. If the angle of elevation to the top of the flagpole is 30 degrees, what is the height of the flagpole?

Options:

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

Correct Answer: 15√3 meters

Solution: 

Using the tangent function, tan(30) = height / 30. Therefore, height = 30 * tan(30) = 30 * (1/√3) = 10√3 meters.

A person is standing 30 meters away from a flagpole. If the angle of elevation t

Practice Questions

Q1
A person is standing 30 meters away from a flagpole. If the angle of elevation to the top of the flagpole is 30 degrees, what is the height of the flagpole?
  1. 15√3 meters
  2. 10 meters
  3. 5√3 meters
  4. 20 meters

Questions & Step-by-Step Solutions

A person is standing 30 meters away from a flagpole. If the angle of elevation to the top of the flagpole is 30 degrees, what is the height of the flagpole?
  • Step 1: Understand the problem. You have a flagpole and a person standing 30 meters away from it.
  • Step 2: Identify the angle of elevation. The angle from the person's line of sight to the top of the flagpole is 30 degrees.
  • Step 3: Visualize the situation. Imagine a right triangle where one side is the height of the flagpole, the other side is the distance from the person to the flagpole (30 meters), and the angle is 30 degrees.
  • Step 4: Use the tangent function. In a right triangle, the tangent of an angle is the opposite side (height of the flagpole) divided by the adjacent side (distance to the flagpole). So, tan(30 degrees) = height / 30.
  • Step 5: Rearrange the equation to find the height. Multiply both sides by 30: height = 30 * tan(30 degrees).
  • Step 6: Calculate tan(30 degrees). The value of tan(30 degrees) is 1/√3.
  • Step 7: Substitute the value of tan(30 degrees) into the equation: height = 30 * (1/√3).
  • Step 8: Simplify the equation. This gives you height = 30/√3.
  • Step 9: To make it neater, multiply the numerator and denominator by √3: height = (30√3)/3.
  • Step 10: Simplify further to find the height: height = 10√3 meters.
  • Trigonometric Functions – Understanding and applying the tangent function to find heights in right triangles.
  • Angle of Elevation – Using the angle of elevation to relate horizontal distance and vertical height.
  • Right Triangle Properties – Recognizing the relationship between the sides of a right triangle and the angles.
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