science
Grade-11
Easy

Question

If the river's width is 10 m  and the angle of the drift is 60 degrees, the velocity of the person on the boat concerning the river is 4 m/s. Find the time taken by to cross the river.

 

  1. 2.3
  2. 3.1
  3. 2.9
  4. 5.2

hintHint:

2.9 s

The correct answer is: 2.9


    Given:
    The velocity of the person on a boat (Vp) = 4ms-1

    Angle of drift (θ) = 60ο
    Width of the river (d) = 10m
    To find:
    Time taken (t) = ?
    Solution:
    S i n theta space equals space P over H space
S i n 60 space equals space fraction numerator 10 space over denominator H end fraction
H space equals space fraction numerator 10 over denominator begin display style fraction numerator square root of 3 over denominator 2 end fraction end style end fraction space equals space 11.7 m space left parenthesis space d i s tan c e space c o v e r e d space b y space t h e space p e r s o n right parenthesis space
B y space u sin g comma
s p e e d space equals fraction numerator space D i tan c e space over denominator t i m e end fraction
T i m e space t a k e n space equals space fraction numerator 11.7 over denominator 4 end fraction space equals space 2.9 s

    Answer:
    Time taken to cross the river = 2.9s

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