Math, asked by soniamittal2045, 3 months ago

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

Answered by amitnrw
12

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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Answered by 4717
1

Step-by-step explanation:

the distance between three and intial position of rat 90 m

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