If the angles of elevation of a tower from two points at distances a and b where a>b from its foot and in the same straight line from it are 30 degree and 60 degree,then height of the tower is?

Asked by Peeyush | 15th Mar, 2015, 08:02: PM

Expert Answer:

 
L e t space space A B space space b e space t h e space h e i g h t space o f space t h e space t o w e r space a n d space B space b e space i t s space f o o t. A B space equals space h B D space equals space b B C space equals space a angle A D C space equals space 60 angle A C B space equals space 30 N o w comma space I n space triangle A B C. tan space 30 space equals space fraction numerator A B over denominator B C end fraction fraction numerator 1 over denominator square root of 3 end fraction equals space h over a h space equals space fraction numerator a over denominator square root of 3 end fraction space space space.... space left parenthesis 1 right parenthesis I n space triangle A D B comma tan space 60 space equals space h over b square root of 3 space equals space h over b h space equals space b square root of 3.... left parenthesis 2 right parenthesis m u l t i p l y i n g space left parenthesis 1 right parenthesis space a n d space left parenthesis 2 right parenthesis comma h squared equals space fraction numerator a over denominator square root of 3 end fraction cross times b square root of 3 h squared equals a b h space equals space square root of a b end root

Answered by Rohit Ranawat | 16th Mar, 2015, 11:35: AM

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