PROBLEM
– 32
A man on a cliff observes a boat, at an angle
of depression 30 degrees, which is sailing towards the shore to the point
immediately beneath him. Three minutes later, the angle of depression of the
boat is found to be 60 degrees. Assuming that the boat sails at a uniform
speed, determine:
(a) how much more time it will take to reach
the shore?
(b) the speed of the boat in metre per second,
if the height of the cliff is 500 m.
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