A tower is situated on horizontal plane. From two points, the line joining three points passes through the base and which are 
and 
distance from the base. The angle of elevation of the top are 
and 
and 
is that angle which two points joining the line makes at the top, the height of tower will be
Text Solution
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Let there are two points C and D on horizontal line passing from point B of the base of the tower AB . The distance of these points are b and a from B respectively.
. 
line CD , on the top of tower A subtends an angle 
, 
According to question, on point C and D , the elevation of top are 
and 
.
and 
.
In 
….. (i)
and in 
, AB = BD 
…..(ii)
Multiplying equation (i) and (ii),
, 
.
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