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Units And Measurement

Question
CBSEENPH11016449

Discuss the triangulation method to measure the height of inaccessible object.

Solution
An object whose distance cannot be measured from the observation point, is called inaccessible object. 
To measure the height of such an object BC, measure the two angles of elevation of the top of object C from two different points  A1 and A2. 
. 
Let space space straight theta subscript 1 space and space straight theta subscript 2 space end subscript be the angles of elevation of top
C at Aand Arespectively.
From figure, 
cot space straight theta subscript 1 space equals space straight x subscript 1 over straight h space and space cotθ subscript 2 space equals space straight x subscript 2 over straight h
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rightwards double arrow     straight x subscript 2 minus straight x subscript 1 equals straight h left parenthesis cot space straight theta subscript 2 minus space cotθ subscript 1 right parenthesis
rightwards double arrow     straight h space equals space fraction numerator straight x subscript 2 minus straight x subscript 1 over denominator cotθ subscript 2 minus cotθ subscript 1 end fraction , is the height of the inaccessible object.