A boat moving at 8.6 km/hr relative to the water is crossing a river 5.1 km wide in which the current is flowing at 4.0 km/hr. At what angle upstream should the boat head to reach a point on the other shore directly opposite the starting point? (Assume 0 degrees is straight across, and give the angle in degrees as a positive value with no units.)

An explorer is caught in a whiteout (in which the snowfall is so thick that the ground cannot be distinguished from the sky) while returning to base camp. He was supposed to travel due north for 5.1 km, but when the snow clears, he discovers that he actually traveled 8.4 km at 46° north of due east. (a) How far and (b) in what direction (south of due west) must he now travel to reach base camp? (a) Number i 34.99 (b) Number 1.48 Units Units km ° (degrees)

You want to swim straight across a river that is 76m wide. You find that you can do this if you swim at an angle of θ= 28° from the upstream direction at a constant rate of 1.5 m/s relative to the water. At what rate does the river flow? The angle θ is measured from the river bank (directly upstream is θ=0 while directly across the river is θ= 90)

A drone is initially flying on a heading 40 degrees south of west at a speed of 284 knots. (A knot is about 1.15 miles per hour). A wind begins to blow due west at a speed of 50 knots. Find the resultant speed and direction of the drone.

A motorboat is racing towards north at 25km/h and the water current in that region is 10km/h in the direction of 60° east of south. Find the resultant velocity of the boat.

A bird flying west has an air speed of 17 km/h. if there is a southeasterly wind of 9 km/h, find the magnitude of the true speed and direction of the bird relative to the ground. I found the magnitude of the true speed but I can't figure out the angle

A river flows in the direction due north. The speed of the current is 5 km/hr. A boat with a speed of 20 km/hr starts crossing the river from the west bank directly in the east direction. What is the resultant velocity of the boat? (In other words, calculate the magnitude and the direction of the resultant velocity of the boat.) Round each answer to the nearest integer.

A boat whos speed in still water is 5.0m/s headed west across a river. The river current is 2.5m/s south. If the river is 2395 wide, how long does it take the boat to cross the river.

A rowboat crosses a river with a velocity of 0.92 m/s at an angle 43◦ North of West relative to the water. The river is 556 m wide and carries a current of 1.16 m/s due East. When the boat reaches the opposite bank, how far East or West (downstream “+” or upstream “−”) from its starting point (on the opposite bank) does it land. Note: In your answer, take an Eastward displacement to be positive and a Westward displacement to be negative.

A river is flowing from west to east at a speed of 10.0 km/h. A boat’s speed in the water is 20.0 km/h. If the boat is pointing straight north, and is blown off course, find the direction of the boat.