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From the top of a building 100m high, the angle of depression of a point A due to East of it is 30 degrees. From a point B duo South of the building, the angle of elevation of the top is 60 degrees. Find the distance AB

Guest Mar 2, 2017
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From the top of a building 100m high, the angle of depression of a point A due to East of it is 30 degrees. From a point B duo South of the building, the angle of elevation of the top is 60 degrees. Find the distance AB

 

Distance to A from the building   =  100m/ tan 30   =  100√ 3  m

 

Distance to B from building   =   100m / tan 60   = 100 / √ 3 m

 

A and B  are at right angles........so the distance between them forms the hypotenuse of a right triangle......so we have

 

AB  = √ [ (100√ 3)^2  + (100/√ 3)^2  ]  =  100√ [3 + 1/3] m ≈ 182.57 m

 

 

cool cool cool

CPhill  Mar 2, 2017

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