A man in a boat rowing away a lighthouse height takes to change the angle of elevation of the top at the lighthouse from to . Find the speed of the boat in metres per minute. .

# A man in a boat rowing away a lighthouse height takes to change the angle of elevation of the top at the lighthouse from to . Find the speed of the boat in metres per minute. .

1. A
2. B
3. C
4. D

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### Solution:

Concept- By using angle elevation and tangent formula, compute the distance. After determining the distance, we can determine the boat's speed in metres per minute.
In , is height of tower and is the distance from boat to tower.
Now, Consider as the point the boat travelled.
Then, distance travelled by boat Therefore, Speed of boat Hence, the correct answer is option (4)

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