My Learning Cart
?
Categories
Account

A kite is flying at a height of 40 meters. If the angle of elevation from a poin

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

What’s inside this PDF?

Question: A kite is flying at a height of 40 meters. If the angle of elevation from a point on the ground to the kite is 30 degrees, how far is the point from the base of the kite?

Options:

  1. 40√3 meters
  2. 20√3 meters
  3. 30 meters
  4. 50 meters

Correct Answer: 40√3 meters

Solution: 

Using the tangent function, tan(30) = 40 / distance. Therefore, distance = 40 / tan(30) = 40√3 meters.

A kite is flying at a height of 40 meters. If the angle of elevation from a poin

Practice Questions

Q1
A kite is flying at a height of 40 meters. If the angle of elevation from a point on the ground to the kite is 30 degrees, how far is the point from the base of the kite?
  1. 40√3 meters
  2. 20√3 meters
  3. 30 meters
  4. 50 meters

Questions & Step-by-Step Solutions

A kite is flying at a height of 40 meters. If the angle of elevation from a point on the ground to the kite is 30 degrees, how far is the point from the base of the kite?
  • Step 1: Understand the problem. We have a kite flying at a height of 40 meters and we want to find out how far a point on the ground is from the base of the kite.
  • Step 2: Identify the angle of elevation. The angle from the ground to the kite is 30 degrees.
  • Step 3: Use the tangent function. In a right triangle, the tangent of an angle is the opposite side (height of the kite) divided by the adjacent side (distance from the point to the base of the kite).
  • Step 4: Write the equation using the tangent function: tan(30 degrees) = height / distance.
  • Step 5: Substitute the known values into the equation: tan(30) = 40 / distance.
  • Step 6: Rearrange the equation to solve for distance: distance = 40 / tan(30).
  • Step 7: Calculate tan(30 degrees). The value of tan(30 degrees) is √3 / 3.
  • Step 8: Substitute tan(30) back into the equation: distance = 40 / (√3 / 3).
  • Step 9: Simplify the equation: distance = 40 * (3 / √3) = 40√3 meters.
  • Step 10: Conclude that the distance from the point on the ground to the base of the kite is 40√3 meters.
  • Trigonometric Ratios – Understanding and applying the tangent function to relate angles and side lengths in right triangles.
  • Angle of Elevation – Recognizing the angle formed between the horizontal line from the observer's eye to the object above.
  • Right Triangle Properties – Using properties of right triangles to solve for unknown lengths based on given angles and heights.
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