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Heights and Distances Practice Test 2
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© examsnet.com
Question : 22
Total: 24
The angle of elevation of the top of two vertical towers as seen from the middle point of the linejoining the foot of the towers are 60° and 30° respectively. The ratio of the heights of the towers is:
2 : 1
√
3
:
1
3 : 2
3 : 1
Validate
Solution:
👈: Video Solution
Let AB and CD be two towers of heights
h
1
and
h
2
respectively and O the mid-point of the line joining the foots A and C of the towers.
Let OA = OC = x
Then
h
1
=
x
tan
60
°
=
x
√
3
and
h
2
=
x
tan
30
°
=
x
√
3
∴
h
1
h
2
=
3
1
© examsnet.com
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