A flag-staff 20 m long standing on a wall 10 m high subtends an angle whose tangent is O.5 at a point on the ground. If θ is the angle subtended by the wall at this point, then.
A
tan θ = 1
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B
tan θ = 1/3
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C
tan θ = 3
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D
tan θ = 1/2
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Solution
The correct options are A tan θ = 1 B tan θ = 1/3 tan α = 1/2, tan θ = 10/x tan (α + θ) = 30/x tanα+tanθ1−tanα.tanθ = 30/x x2 - 40x + 300 = 0 x=30 or 10