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A lighthouse on the Kochi coast is 60 m tall, measured from sea level.
A fishing boat sails straight toward it. At the first observation the angle of depression of the boat from the top of the lighthouse is 45°; at the second observation it is 60°.
Find the exact distance (in m) of the boat from the foot of the lighthouse at the SECOND observation.

Class 10Heights and DistancesTrigonometry
  • A60
  • B
  • C
  • D

Step-by-Step Solution

Only the second angle is needed. tan m (about 34.64 m). The value 60 m belongs to the first observation at 45°, so it answers the wrong instant.
Answer: D)

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