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UPSC CDS Math Height and Distances Questions
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© examsnet.com
Question : 5
Total: 25
Each side of a square subtends an angle of 60° at the tip of a tower of height h metres standing at the centre of the square. If I is the length of each side of the square, then what is
h
2
equal to ?
[2018 CDS-I]
2
l
2
l
2
2
3
l
2
2
2
l
2
3
Validate
Solution:
Let OP be the tower of height h.
As ABCD is a square
∴
O
C
=
√
2
l
2
=
l
√
2
Now,in ΔPOC,
O
P
O
C
=
tan
60
°
⇒
h
l
√
2
=
√
3
⇒
h
=
√
3
2
l
⇒
h
2
=
3
2
l
2
© examsnet.com
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