Horizontal and Vertical Components of Projectile Motion
A flag-staff ...
Question
A flag-staff 20 metres long standing on a wall 10 metres high subtends an angle whose tangent is 0.5 at a point on the ground. lf θ is the angle subtended by wall at that point then tanθ=
A
1
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B
13
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C
1 or 13
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D
2
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Solution
The correct option is C1 or 13 tanα=12 tan(α+θ)=30d tanθ=10d (tanα+tanθ)1−tanαtanθ=3tanθ 1+2tanθ2−tanθ=3tanθ 1+2tanθ=6tanθ−3tanθ 3tanθ−4tanθ+1=0 tanθ=1,13