A boat moves through still water at 4ms−1 due east while a river current flows 3ms−1 due north. The speed and direction of the boat relative to the ground are
a) 5ms−1 at 53∘ north of east
b) 5ms−1 at 37∘ north of east
c) 7ms−1 at 37∘ north of east
d) 5ms−1 at 37∘ east of north