Question

a moving boat is observed from the top of a 150m high cliff moving away from the cliff. the angle of depression of the boat changes from 60degree to 45 degree in 2 minutes .find the speed of the boat in m/h

Answer 1

Answer:

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

The Answer Is 1902 M per hour. Solved by an High Honors Student

Step-by-step explanation: