A person of height 2m wants to get a fruit which is on a tree at height 10/3mIf he stands at a distance of 4/\sqrt3m from the foot of the tree, then the angle at which he should throw the stone, so that he hits the fruit is:

SSC MTS Model Paper 1

Question : 34 of 150

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A person of height 2m wants to get a fruit which is on a tree at height

10/3

mIf he stands at a distance of

4/√3

m from the foot of the tree, then the angle at which he should throw the stone, so that he hits the fruit is:

Solution:

\tan θ= { { AB } }/ { { BC } } = { { 10 }/ { 3 } - 2 } /{ \ { 4 }/ { √ { 3 } } } = { 4 } /{ 3 } \× \ { √ { 3 } }/ { 4 }

⇒

{ 1 } /{ √ { 3 } } = \tan 30°

⇒

θ = 30°

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