Resolution of vectors and unit vector
12. The farm house shown in figure has rectangular shape and has sides parallel to the chosen x and y
axes. The position vector of corner A is 125 m at 53° and corner C is 100 m at 37° from x axis. Find
the length of the fencing required in meter.
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Answer:
90 m
Explanation:
AB = DC = 100 cos(37°) - 125 cos(53°)
= 100 × 4/5 - 125 × 3/5
= 80 - 75
= 5 m
AD = BC = 125 sin(53°) - 100 sin(37°)
= 125 × 4/5 - 100 × 3/5
= 100 - 60
= 40 m
perimeter = 2×(40+5) = 90 m
length of fence = 90 m
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