is found to be 40 m longer when the Sun’s altitude is 30° than when it is 60°. Find the height of the jsuisjzuududnfhsj
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Answer:
the new distance will be same
= 40 m .
refer to the attachment, you will get the answer.
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Let us assume, AB = h m, BC = x m
DB = (40 +x) m
In right triangle ABC,
tan 60° = AB/BC
√3 = h/x
h = √3 x……….(i)
In right triangle ABD,
tan 30° = AB/BD
1/√3 =h/(x + 40) ……..(ii)
From (i) and (ii),
x(√3 )(√3 ) = x + 40
3x = x + 40
2x = 40
x = 20
Substituting x = 20 in (i),
h = 20√3
Hence, the height of the tower is 20√3 m.
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