Solve this question fast....
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Anonymous:
ask it in 25 or more marks i will ans all
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hey mate
here is the answer....
refer to the attachment to co-relate!
let the h m be the height of the tower.
let the shadow of the tower be x m when the sun's altitude is 60°.
so,the shadow of the tower would be (x+40) m when the sun's altitude is 30°.
so,
tan 60°=h/x
=>√3=h/x
=>x=h/√3
also
tan 30°=h/(x+40)
=>1/√3=h/(x+40)
=>(x+40)=√3h
=>x=√3h-40
since,
x=x [in both cases]
=>h/√3=√3h-40
=>h=√3(√3h-40)
=>h=3h-40√3
=>h-3h=-40*1.732
=>-2h=-40*1.732
=>h=20*1.732. [÷by -2 on both sides]
=>h=34.64 m(Answer)
thus,
the height of the tower is 34.64 m.
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