An explorer is caught in a whiteout (in which the snowfall is so thick that the

Question

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 4.1 km, but when the snow clears, he discovers that he actually traveled 7.8 km at 50° north of due east.
How far must he now travel to reach base camp in kilometers, and in what direction must he travel (in degrees counterclockwise from due east)
Please show work and answer

Explanation / Answer

A vector should be put into its components before being combined with any other vectors v=|v| the scalar magnitude direction is an angle ? to the nearest x axis The nearest x axis will be the positive x axis if the vector has Q1 orientation (vx>0 and vy>0) or Q4 orientation (vx>0 and vy

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