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Question

A boy walks to the store using the following path: 0.4 miles west, 0.2 miles north, 0.3 miles east. What is the direction of the vector that points from his house directly to the store? (in degrees)

A
63.4
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B
64
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C
63
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D
65
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Solution

The correct option is A 63.4
Consider east direction to be x-axis and north direction to be y axis.
Total displacement along x axis Sx=0.4^i+0.3 ^i=0.1^i
Displacement along y axis Sy=0.2 ^y
Direction of net displacement from x-axis tanθ=SySx=0.20.1=2
θ=tan(2)=63.4o

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