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Worksheet: Angle of Depression


In the given diagram, Michael observes a buoy in the sea below him from a point 6 ft above a 45 ft cliff. He has been told that the perpendicular distance from the buoy to the base of the cliff is 60 ft. What is the angle of depression, in degrees, from Michael to the buoy? Give your solutions to two decimal places.


A person in an office building looks out of a window from a height of 6 m. They see a cat on the sidewalk 10 m from the building. From the person, what is the angle of depression of the cat? Assume the sidewalk is horizontal.


In the given diagram, James is observing a buoy in the sea from the top of a cliff. Which of the following angles represents the angle of depression?

  • A ∠ 𝐴 𝐢 𝐷
  • B ∠ 𝐢 𝐴 𝐷
  • C ∠ 𝐴 𝐷 𝐢
  • D ∠ 𝐡 𝐴 𝐢
  • E ∠ 𝐴 𝐡 𝐢