Just figure the height above the people, and then add 2 meters.
Draw a diagram, and it will be clear that if h is the height above the boaters,
h cot12° - h cot16° = 50
A person sitting on a boat is situated 2m above sea level. They note that a straight line from themselves to the top most point of a nearby lighthouse is 16 degrees. After travelling a further 50m directly away from the lighthouse this angle has decreased to 12 degrees.
How high is the topmost point of the lighthouse above sea level?
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