Solution: Determine the speed of the ship if the lighthouse is known to be 50 meters above sea level

The captain of a ship views the top of a lighthouse at an angle of 60° with the horizontal at an elevation of 6 meters above sea level. Five minutes later, the same captain of the ship views the top of the same lighthouse at an angle of 30° with the horizontal.

Determine the speed of the ship if the lighthouse is known to be 50 meters above sea level.

Problem Statement: ECE Board November 1991

The captain of a ship views the top of a lighthouse at an angle of 60° with the horizontal at an elevation of 6 meters above sea level. Five minutes later, the same captain of the ship views the top of the same lighthouse at an angle of 30° with the horizontal. Determine the speed of the ship if the lighthouse is known to be 50 meters above sea level.
  • A. 0.265 m/sec
  • B. 0.155 m/sec
  • C. 0.169 m/sec
  • D. 0.210 m/sec

Problem Answer:

The speed of the ship is 0.169 m/sec.

Solution:

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