The boat can travel with a speed of 16 kmh in still water Th

The boat can travel with a speed of 16 km/h in still water. The point of destination is located along the dashed line. If the water is moving at 4 km/h, determine the bearing angle theta at which the boat must travel to stay on course.

Solution

Solution:

Speed of boat in still water = 16 km/hr (east)

Speed of water flow = 4 km/hr (south)

Relative velocity of boat wrt water flow is given by = 16-4 = 12 km/h

Angle of resultant with base is given by tan x = 4/12

x = 18.43

From given figure

x + 70 + theta = 90

theta = 1.56

therefore baring angle for given case is 1.56 degree.