Asked by Shin
Shun started driving south-west for 450 meters then turned south south for 500 meter and stopped. Find Shun's displacement
Answers
Answered by
Damon
SW = 180+45= 225 degrees True
south component = 450 cos 45 = 318 south
west component = 450 sin 45 = 318 west
S = 180 degrees True
south component = 500
west component = 0
so
total south = 318+500 = 818
total west = 318
total distance=sqrt(818^2+318^2) = 878 meters
if A is angle west of south
tan A = 318/818
A = 21.2 degrees west of south
180 + 21.2 = 201.2 degrees True bearing from start point.
south component = 450 cos 45 = 318 south
west component = 450 sin 45 = 318 west
S = 180 degrees True
south component = 500
west component = 0
so
total south = 318+500 = 818
total west = 318
total distance=sqrt(818^2+318^2) = 878 meters
if A is angle west of south
tan A = 318/818
A = 21.2 degrees west of south
180 + 21.2 = 201.2 degrees True bearing from start point.
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