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 5.9 km, but when the snow CLEARS, he discovers that he actually traveled 7.8 km at 57° north of due east. (Let the +x-axis point towards the east and the +y-axis point towards the north.) (a) How far must he NOW travel to reach base camp? Correct: Your answer is correct. km (b) In what DIRECTION must he travel? Incorrect: Your answer is incorrect. ° counterclockwise from the +x-axis

Explanation / Answer

Let's use x and y for north and east

Distance between starting point and base camp= 5.9 km

distance covered by explorer 7.8 km 57degree north of east

magnitude of distance explorer needs to travel to reach base camp = sqroot( 7.8 ^2 - 5.9^2) = 5.1 km apprx

Direction: 180 -57 counterclockwise from +x axi s= 123 degree

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