a river is flowing with speed of 8 km/h . a swimmer wants to reach a point R from P. he swims with constant speed of 8km/h at an angle theta equal to or less then 90degree wet river flow. if PQ=QR=800m then value of theta is...
Answers
Answer:
a river is flowing with speed of 8 km/h . a swimmer wants to reach a point R from P. he swims with constant speed of 8km/h at an angle theta equal to or less then 90degree wet river flow. if PQ=QR=800m then value of theta is...
Explanation:
Swimmer is Swimming at an angle of 90° to river Flow if PQ = QR = 800m
Explanation:
Swimmer Speed in Direction of River flow
= 8 Cosθ
so Net Speed of Swimmer in River Direction = 8 + 8 Cosθ
Speed of Swimmer in direction of point Q = 8Sinθ
Let say Time Taken = T
Distance PQ = 8Sinθ * T
Distance QR = (8 + 8 Cosθ)*T
=> 8Sinθ * T = (8 + 8 Cosθ)*T = 800 m
=> 8Sinθ = 8 + 8 Cosθ
=> Sinθ - Cosθ = 1
=> θ = 90°
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