3. A ear went 130 km towards east making an angle 60° with north. How much distance the car mored in North and east direction separately?
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Explanation:
Net distance traveled along x-direction,
S
X
=6cos45
o
i
^
−4cos45
o
i
^
=2×
2
1
=
2
km
Net distance traveled along y-direction
S
y
=6sin45
o
j
^
+4sin45
o
j
^
=10×
2
1
=5
2
km
∴ Net distance traveled from the starting point,
S=
S
X
2
+S
y
2
=
(
2
)
2
+(5
2
)
2
=
2+25×2
=
52
km
Angle which the resultant makes with the east direction
tanθ=
x
y
=
2
5
2
orθ=tan
−1
(5)
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