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A kite is flying at a height of 60 meters. If the angle of elevation from a poin

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Question: A kite is flying at a height of 60 meters. If the angle of elevation from a point on the ground to the kite is 45 degrees, how far is the point from the base of the kite?

Options:

  1. 30 meters
  2. 40 meters
  3. 60 meters
  4. 70 meters

Correct Answer: 60 meters

Solution: 

Distance = height / tan(angle) = 60 / 1 = 60 meters.

A kite is flying at a height of 60 meters. If the angle of elevation from a poin

Practice Questions

Q1
A kite is flying at a height of 60 meters. If the angle of elevation from a point on the ground to the kite is 45 degrees, how far is the point from the base of the kite?
  1. 30 meters
  2. 40 meters
  3. 60 meters
  4. 70 meters

Questions & Step-by-Step Solutions

A kite is flying at a height of 60 meters. If the angle of elevation from a point on the ground to the kite is 45 degrees, how far is the point from the base of the kite?
Correct Answer: 60 meters
  • Step 1: Understand that the height of the kite is 60 meters.
  • Step 2: Know that the angle of elevation from the ground to the kite is 45 degrees.
  • Step 3: Recall that the tangent of an angle in a right triangle is the opposite side (height) divided by the adjacent side (distance from the base).
  • Step 4: For a 45-degree angle, the tangent value is 1 (tan(45) = 1).
  • Step 5: Use the formula: Distance = height / tan(angle).
  • Step 6: Substitute the values: Distance = 60 meters / 1.
  • Step 7: Calculate the distance: Distance = 60 meters.
  • Trigonometry – The problem involves using the tangent function to relate the height of the kite and the angle of elevation to find the horizontal distance.
  • Right Triangle Properties – Understanding the relationship between the sides of a right triangle formed by the height of the kite and the distance from the point on the ground.
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