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If a kite is flying at a height of 30 meters and the string makes an angle of 60

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Question: If a kite is flying at a height of 30 meters and the string makes an angle of 60 degrees with the ground, how long is the string?

Options:

  1. 15 meters
  2. 30 meters
  3. 35 meters
  4. 60 meters

Correct Answer: 35 meters

Solution: 

Using sin(60) = height/string length, string length = height/sin(60) = 30/(√3/2) = 30 * 2/√3 = 20√3 meters.

If a kite is flying at a height of 30 meters and the string makes an angle of 60

Practice Questions

Q1
If a kite is flying at a height of 30 meters and the string makes an angle of 60 degrees with the ground, how long is the string?
  1. 15 meters
  2. 30 meters
  3. 35 meters
  4. 60 meters

Questions & Step-by-Step Solutions

If a kite is flying at a height of 30 meters and the string makes an angle of 60 degrees with the ground, how long is the string?
  • Trigonometry – The problem involves using the sine function to relate the height of the kite to the length of the string based on the angle with the ground.
  • Right Triangle Properties – Understanding the relationship between the sides of a right triangle formed by the height, the string, and the angle.
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