imo class 12 inverse trigonometric functions

A kite is flying such that the string is 100m long. If the height of the kite is 50√3 m, the angle of elevation is:

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A kite is flying such that the string is 100m long. If the height of the kite is 50√3 m, the angle of elevation is:

  • A. sin⁻¹(√3/2)
  • B. cos⁻¹(√3/2)
  • C. tan⁻¹(√3/2)
  • D. sin⁻¹(1/2)

Answer: A) sin⁻¹(√3/2)

Explanation: sin(θ) = height / string length = 50√3 / 100 = √3/2. Therefore, the angle is sin⁻¹(√3/2), which is 60°.

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