A boatman find that he can save 6sec in crossing a river by quicker path then by shortest path if the velocity of boat and river be respectively 17m/s and 18m/s then river width is
Answers
Answer:
765 m
Explanation:
A boat's man finds that he can save 6 seconds in crossing a river by quicker path.Then the shortest path if the velocity of boat and the river be respectively 17m/s and 8m/s.Then width of the river is ?
Time Taken if Man Swim such that he cancel out River Flow and Swim across shortest Path
as 17Cosα = -8 => 17Sinα = √17² - 17Cos²α = √17² - 8² = 15
= W/17Sinα
=W/15
Time Taken if Man Swims towards Shortest Path but effective path is changed
= W/17
W/15 - W/17 = 6
=> 17W - 15W = 255*6
=> W = 255*3
=> W = 765 m
Answer:
Explanation:
A boat's man finds that he can save 6 seconds in crossing a river by quicker path.Then the shortest path if the velocity of boat and the river be respectively 17m/s and 8m/s.Then width of the river is ?
Time Taken if Man Swim such that he cancel out River Flow and Swim across shortest Path
as 17Cosα = -8 => 17Sinα = √17² - 17Cos²α = √17² - 8² = 15
= W/17Sinα
=W/15
Time Taken if Man Swims towards Shortest Path but effective path is changed
= W/17
W/15 - W/17 = 6
=> 17W - 15W = 255*6
=> W = 255*3
=> W = 765 m