A motor boat has a speed of 10 km/h with respect to water. A river flows at 5 km/h towards west. The boat nedds to cross from the south shore to a point directly opposite on the north shore. At what angle must the boat be headed as measured from north?

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Addison Mueller · Accepted Answer

V          b      g        =  10  k  m      /    h        V          r      g        =  5  k  m      /    h              V      →              b      r        +            V      →              r      g        =            V      →              b      g              |              V      →              b      g            |    =            10      2        +          5      2        =  11.2  k  m      /    h    θ  =      tan          −      1        ⁡  (                    |                              V          →                          r          g                            |                            |                                          V            →                                b            g                                    |                      )    θ  =      tan          −      1        ⁡  (      5    10    )  =      26.6    0

A motor boat has a speed of 10 km/h with respect to water. A river flows at 5 km/h towards west. The boat nedds to cross from the south shore to a point directly opposite on the north shore. At what angle must the boat be headed as measured from north?

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