Question

a moving boat is observed from the top of 150 M height flip moving away from the clip the angle of depression of the boat changes from 60 degree to 45 degree into minutes find the speed of the boat in metre or hour

Answer 1

Find the distance of boat from cliff when angle of elevation is 60° by taking tan60 = height of cliff /distance between boat and cliff it is found that it is


now in the same way taking angle of elevation as 45°find distance of boat when it is 45 °from the cliff. on finding distance = 150 m
now find the distances between two position of boats
which is

= 50(3 -1.732) = 63.4
the boat travels 63.4 m in 2 min or 120 sec
:. speed of boat = distance / time itis wanted m/hr
:. answer should be multiplied by 3600
=63.4×3600/120 =1902 m/hr

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