imo class 12 inverse trigonometric functions

A 13m long ladder leans against a wall in a Delhi apartment. If its foot is 5m from the wall, the angle it makes with the ground is:

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A 13m long ladder leans against a wall in a Delhi apartment. If its foot is 5m from the wall, the angle it makes with the ground is:

  • A. sin⁻¹(5/13)
  • B. cos⁻¹(5/13)
  • C. tan⁻¹(5/13)
  • D. cot⁻¹(5/13)

Answer: B) cos⁻¹(5/13)

Explanation: The ladder is the hypotenuse (13m) and the base is 5m. cos(θ) = base / hypotenuse = 5/13. Hence θ = cos⁻¹(5/13).

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