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UPSC 2014 CDS II Math Paper
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© examsnet.com
Question : 51
Total: 100
If from the top of a post a string twice the length of the post is stretched tight to a point on the ground, then what angle will the string make with the post?
[2014 CDS-II]
π/6
π/4
5π/12
π/3
Validate
Solution:
AB is the post and AC is the length of the string.
Let θ be the angle made by the string with the post.
In right ΔABC,
cos
θ
=
AB
A
C
=
h
2
h
⇒
cos
θ
=
1
2
=
cos
π
3
⇒
θ
=
π
3
© examsnet.com
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