*20 E 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 5.6 km, but when the snow clears, he discovers that he actually traveled 7.8 km at 50° north of due east. (a) How far and (b) in what direction must he now travel to reach base camp?

Geese migrate along north and south directions for well over a thousand kilometers in some cases traveling speeds up to about 100 km/h. If one such bird is flying at 100km/h relative to the air but there is a 34.0 km/h wind blowing from the west to east. A.) at what angle relative to the north-south direction should this bird head so that it will be traveling directly southward relative to the ground? Express answer in degrees  b.) how long will it take the bird to cover a ground distance of 500 km from north to south? ( Note: Even on cloudy nights many birds navigate using the earth's magnetic field to fix the north-south direction)

a.) Find the x-component of the velocity, where the x-direction is east. b.) Find the y-component of the plane's velocity, where the y-direction is north.

A commercial jet sets its speed to 525 mph, and points its nose in the direction of 15 degrees west of north (-105 degrees from +x-axis).  However, a strong jet stream is blowing at 110 mph at a direction of 20 degrees.  The actual resultant velocity of the aircraft is the sum of these two vectors. a.  Find the final velocity b. For this airspeed and wind velocity, find the angle west of due north that the nose will need to point in order for the final velocity to be due north.