A child in danger of drowning in a river is being carried downstream by a current that has a speed of 2.35km/h. The child is 0.505km from shore and 0.780km upstream of a boat landing when a rescue boat sets out. If the boat proceeds at its maximum speed of 18.8km/h relative to the water,
a) what heading relative to the shore should the captain take?
b)What angle (in degrees) does the boat velocity make with the shore?
The Attempt at a Solution
for a) i just tried using the inverse of tan of (0.6/0.8) but apparently its not right
for b) I thought if the angle found in a was right, i could find the velocity components and subtract the velocity of the river from the y-direction and put those values into a right angled triangle to solve for the angle but that didnt work either