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From the top of a cliff 80 m high, the angles of depression of two boats due east are 45° and 30°. The boat with the 30° depression is:

Class 10Heights and DistancesTrigonometry
  • Afarther from the cliff
  • Bnearer to the cliff
  • Cat the same distance
  • Ddirectly below the cliff

Step-by-Step Solution

Smaller depression angle means a more nearly horizontal line of sight, i.e. the object is farther away. So 30° gives the farther boat.
Answer: A) farther from the cliff

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