From the top of a 100-meter high cliff, the angle of depression to a boat in the sea is 30 degrees. How far is the boat from the base of the cliff?

Practice Questions

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Q1
From the top of a 100-meter high cliff, the angle of depression to a boat in the sea is 30 degrees. How far is the boat from the base of the cliff?
  1. 100 meters
  2. 150 meters
  3. 173 meters
  4. 200 meters

Questions & Step-by-step Solutions

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Q
Q: From the top of a 100-meter high cliff, the angle of depression to a boat in the sea is 30 degrees. How far is the boat from the base of the cliff?
Solution: Distance = height / tan(angle) = 100 / (1/√3) = 100 * √3 = 173.21 meters.
Steps: 0

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