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
1. What is the horizontal distance between tree and initial position of rat?
Select one:
O a. 60 m
O b. 120 m
O c. 45 m
d. 90 m
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?
a. 60 m
b. 120 m
c. 45 m
d. 90 m
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
Additional Info :
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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Step-by-step explanation:
the distance between three and intial position of rat 90 m