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The speed of a boat in still water is 25 mph. The boat is traveling on a river with a current flowing south at 10 mph. At what angle upstream should the boat head to travel due west?

21.80°
23.58°
66.42°
68.20°

Respuesta :

Answer:

B. 23.58

Step-by-step explanation:

I got it right

The correct option is an option (b).

Angle of upstream:

If the boat is flowing in the opposite direction to the stream, it is called upstream. In this case, the net speed of the boat is called the upstream speed

Given that [tex]sin\theta=\frac{10}{25}[/tex]

Then the angle [tex]\theta[/tex] will be,

[tex]\theta= sin^{-1}(\frac{10}{25} )\\\theta=23.578[/tex]

The boat would need to be angled by about 23.58° upstream to travel due west.

Learn more about the topic Angle of upstream:

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