Answer
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Hint: In order to answer this question, we have to calculate the angle with which the boat should be steered to arrive at a point opposite to the point of start, we will first draw a diagram respect to the given problem and then we will take sine angle to solve for it.
Complete step by step answer:
Velocity of the boat $ = 8km/h$
And, the velocity of the river from west to east $ = 4km/h$
So, according to the question:
In the above figure, the angle is $\theta $ .
So, as the angle with which the boat should be steered to arrive at a point opposite to the point of start is as:
$
{V_{br}}\sin \theta = v \\
\Rightarrow \sin \theta = \dfrac{4}{8} = \dfrac{1}{2} \\
$
\[\therefore \theta = {30^\circ }\,west\,of\,north\] .
Therefore, the angle with which the boat should be steered to arrive at a point opposite to the point of start is ${30^\circ }W\,of\,N$ .
Hence, the correct option is (b).
Note: As we know, the given question is related to the river boat topic, so to solve river boat problems, we need to understand two concepts: The speed of a boat relative to the water is equal to the speed of the boat in still water.
Complete step by step answer:
Velocity of the boat $ = 8km/h$
And, the velocity of the river from west to east $ = 4km/h$
So, according to the question:
In the above figure, the angle is $\theta $ .
So, as the angle with which the boat should be steered to arrive at a point opposite to the point of start is as:
$
{V_{br}}\sin \theta = v \\
\Rightarrow \sin \theta = \dfrac{4}{8} = \dfrac{1}{2} \\
$
\[\therefore \theta = {30^\circ }\,west\,of\,north\] .
Therefore, the angle with which the boat should be steered to arrive at a point opposite to the point of start is ${30^\circ }W\,of\,N$ .
Hence, the correct option is (b).
Note: As we know, the given question is related to the river boat topic, so to solve river boat problems, we need to understand two concepts: The speed of a boat relative to the water is equal to the speed of the boat in still water.
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