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Question

A stationary person observes that rain is falling vertically down at 30km/hr. A cyclist is moving up on an inclined plane making an angle 30with horizontal at 10km/hr. In what direction should the cyclist hold his umbrella to prevent himself from rain?

A
At an angle tan1(335) with the inclined plane
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B
At an angle tan1(37) with the inclined plane
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C
At an angle tan1(335) with the horizontal
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D
At an angle tan1(37) with the vertical
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Solution

The correct options are
A At an angle tan1(335) with the inclined plane
C At an angle tan1(37) with the vertical
vm=30^j,vm=1032^i+102^j
tanθ=5335=37θ=tan1(37) with vertical
Angle of vr/m with inclined plane is 60θ=β
tanβ=tan(600θ)=tan60tanθ1+tan60tanθ
=33/71+33/7=335
β=tan1(335).
1554315_72266_ans_1466d1473af64807b61b4279c29a1ef1.jpg

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