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A man wishes to row the shortest possible distance from north to south across a river which is flowing at 2 km/hr from the east. He can row at 4 km/hr. (a) In which direction should he steer

Respuesta :

cjmejiab

From the diagram we have that

[tex]sin\theta = \frac{2}{4}[/tex]

[tex]\theta = sin^{-1} (\frac{1}{2})[/tex]

[tex]\theta = 30\°[/tex]

Therefore the direction is 30° from east of south

Ver imagen cjmejiab
Cricetus

The angle at which the man should steer from east of South direction would be:

48.19

Speed and Distance

Speed indicates the rate at which an item travels from one location towards another. This same magnitude of such an object's speed is referred to as its speed. It's indeed unquestionably a scalar quantity. This same amount of resources that exist whatsoever between the different locations is referred to that as proximity.

According to the question,

River current velocity, [tex]\Upsilon[/tex] = 4 km/hr

Boat's velocity, m = 6 km/hr

We know the relation,

Eastward component of Velocity = mCosθ

or,

→     [tex]\Upsilon[/tex] = mCosθ

then,

Cosθ = [tex]\frac{\Upsilon}{m}[/tex]

       θ = Cos⁻¹ ([tex]\frac{4}{6}[/tex])

          = Cos⁻¹ ([tex]\frac{2}{3}[/tex])

          = 48.19°  

Thus the answer above is correct.

Find out more information about distance here:

https://brainly.com/question/4931057

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