Hello mates.. please solve this question.. Q. :The angle of elevation of the top of a tower from two points distant s and t from its foot are complementary. Prove that the height of the tower is √st. Hope all of you are fine..
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Answered by
4
Answer:
Here is your answer my friend...
Step-by-step explanation:
Let the height of the tower= QR
Angle RSQ= theta
Then angle QTR= 90 degree- theta
In triangle QTR,
Tan(90 degree- theta)= QR/t
=>cot theta= QR/t
=> 1/tan theta= QR/t
=> tan theta=t/QR----( 1 )
Then,
In triangle QRS,
Tan theta= QR/s-----( 2 )
From ( 1 ) and ( 2 ),
t/QR= QR/s
=> QR^2= st
=>QR= root st
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7
Answer:
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