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Question

A particle is projected so as to graze the top of two walls each of height 20 m. The walls are at distances of 30 m and 170 m respectively from the point of projection. Find the angle of projection.

A
tan1(23)
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B
tan1(4051)
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C
tan1(1)
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D
tan1(45)
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Solution

The correct option is B tan1(4051)
Diagram below illustrates the situation given in the question.


Range, R=200 m
By equation of trajectory of a projectile, we know
y=xtanθ(1xR)
For a point (30,20) we get
20=30tanθ(130200)tanθ=23×2017=4051
θ=tan1(4051)

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