CBSE Class 11-science Answered
a boat's speed in still water is 20km/h .if the boat is to travel directly across a river whose current has a speed of 12km/h ,at what upstream angle must the boat head?
Asked by pawankumardas15492 | 22 Jul, 2022, 22:24: PM
Expert Answer
Figure shows the vector diagram for boat velocity and river velocity .
Let the boat travels in a direction that makes angle θ with the bak of river as shown in figure.
If the boat is to travel across the river perpendicular to the flow direction,
then the resolved component (20 cosθ ) km/h of boat velocity along the river bank
should be equal to river velocity vector as shown in figure.
20 cosθ = 12 or cosθ = 0.6
Hence θ = cos-1 (0.6 ) = 53o
Answered by Thiyagarajan K | 23 Jul, 2022, 07:35: AM
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