science
Grade-11
Easy

Question

If the river's width is 4 m and the angle of the drift is 30 degrees, the velocity of the person on the boat concerning the river is 3 m/s. Find the time taken to cross the river.

 

  1. 3.2
  2. 1.5
  3. 2.6
  4. 6.3

hintHint:

1.5 s

The correct answer is: 1.5


    Given: 
    Speed of the person on the boat (Vp) = 4ms-1
    The angle of drift (theta) = 30 to the power of ring operator
    Width of the river = 4m
    To find:
    Time taken =?
    Solution:
    By using the trigonometric function,
    C o s theta space equals space B over H
C o s 30 space equals space 4 over h
h space equals space fraction numerator 4 over denominator begin display style fraction numerator square root of 3 over denominator 2 end fraction end style end fraction space equals space 4.7 m space
B y space u sin g comma space
S p e e d space equals space fraction numerator d i s tan c e space over denominator t i m e end fraction
3 m s to the power of negative 1 end exponent space equals space fraction numerator 4.7 over denominator t i m e end fraction
t i m e space equals space fraction numerator 4.7 over denominator 3 space end fraction space equals space 1.5 s

    Answer:
    Time taken to cross the river = 1.5s

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