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 5.4 km, but when the snow clears, he discovers that he actually traveled 8.1 km at 47o north of due east. (a) how far and (b) in what direction (south of due west) must he now travel to reach base camp?

Actual displacement that he required to move

towards North

Displacement that he moved due to snow is

at 47 degree North of East

now in vector component form we can say

now the displacement that is more required to reach the destination is given as

so the magnitude of the displacement is given as

its direction is given as

so it is 5.54 km towards 5.38 degree North of West.

waste

explanation:

0.93xc=0.93x3x10^8m/s

2.54cm is 1 inch

360seconds i 1 hr