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Q.

 The shadow of vertical tower on level ground increases by 10 meter when the altitude of sun changes from angle of elevation 45° to 30° and find the height of tower correct.

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a

  13.66

b

  12.55

c

  11.25

d

  82.76  

answer is A.

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Detailed Solution

Let the height of tower = h and length of shadow be y.
Then in ΔABC, Question Image  _____(1)
In ΔABD,
Question ImageQuestion Image       ______(2)
Then put y = h
Question ImageQuestion ImageQuestion ImageQuestion ImageQuestion ImageQuestion ImageQuestion ImageQuestion Image  
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 The shadow of vertical tower on level ground increases by 10 meter when the altitude of sun changes from angle of elevation 45° to 30° and find the height of tower correct.