When an eagle looks at a rat on the ground, eagle does not attack the rat at its initial position. It
takes into account the speed of the rat and the direction in which rat is moving. After analysing the
situation (how? it may be God's gift) eagle attacks the rat in such a way that it may successful in
catching the rat.
She
Suppose an eagle sitting on the tree of height 90 m, observe a rat with angle of depression 45°, and
moving away from the tree with some speed. Eagle start flying with 30° downward and catch rat
in 10 second.
Answers
Given : Eagle sitting on the tree of height 90 m, observe a rat with angle of depression 45°, and moving away from the tree with some speed.
Eagle start flying with 30° downward and catch rat in 10 second
To Find : What is the horizontal distance between tree and initial position of rat?
Solution:
Angle of elevation = Angle of depression
Tan 45 ° = Height of tree / Initial distance of Rat from Tree
=> 1 = 90/Initial distance of Rat from Tree
=> Initial distance of Rat from Tree = 90 m
Eagle start flying with 30° downward and catch rat in 10 second
=> Tan 30° = 90/ Final position
=> Final position = 90√3 m
Distance covered by Rat = 90√3 - 90 m
Time = 10 sec
=> Speed = ( 9√3 - 9) m/s
Distance covered by Eagle
Sin 30° = 90/ Distance Covered by eagle
=> Distance Covered by eagle = 180 m
Speed = 18 m/s
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Given : Eagle sitting on the tree of height 90 m, observe a rat with angle of depression 45°, and moving away from the tree with some speed.
Eagle start flying with 30° downward and catch rat in 10 second
To Find : What is the horizontal distance between tree and initial position of rat?
Solution:
Angle of elevation = Angle of depression
Tan 45 ° = Height of tree / Initial distance of Rat from Tree
=> 1 = 90/Initial distance of Rat from Tree
=> Initial distance of Rat from Tree = 90 m
Eagle start flying with 30° downward and catch rat in 10 second
=> Tan 30° = 90/ Final position
=> Final position = 90√3 m
Distance covered by Rat = 90√3 - 90 m
Time = 10 sec
=> Speed = ( 9√3 - 9) m/s
Distance covered by Eagle
Sin 30° = 90/ Distance Covered by eagle
=> Distance Covered by eagle = 180 m
Speed = 18 m/s