Speed of the woman walking = 4 miles/hours
Speed of the Ship travelling = 16 miles/hour
Speed of the woman relative to the surface water = [tex]\sqrt{Speed of woman ^2 + speed of ship ^2 }[/tex]
Speed of the woman relative to the surface of water = [tex]\sqrt{4^2 + 16^2}[/tex]
Speed of the woman relative to the surface of water =[tex]\sqrt{16 + 256}[/tex]
Speed of the woman relative to the surface of water = [tex]\sqrt{272} = 16.49 miles/hour[/tex]
Speed of the woman relative to the surface of water = 16.5 miles per hours (Rounded to one decimal)
Her direction is given by tan Θ = 16/4 = 4
Θ = tan inverse of 4 = 75.96
Θ = 76 degrees north west
