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 5.3 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 Units km (b) Number i Units ° (degrees)

Principles of Physics: A Calculus-Based Text
5th Edition
ISBN:9781133104261
Author:Raymond A. Serway, John W. Jewett
Publisher:Raymond A. Serway, John W. Jewett
Chapter1: Introduction And Vectors
Section1.8: Some Properties Of Vectors
Problem 1.4QQ
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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 5.3 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
Units
km
(b) Number
i
Units
° (degrees)
Transcribed Image Text: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 5.3 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 Units km (b) Number i Units ° (degrees)
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Solution:

The explorer travelled 5.3 km due north 

8.4 km at 46° North of due East 

 

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