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Heights and Distances Practice Test 2
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© examsnet.com
Question : 7
Total: 24
An airplane when flying at a height of 2000 meters above the ground passes vertically above another plane at an instant when the angle of elevation of two airplanes from the same point on ground are 45° and 30° respectively. How many meters the lower airplane is one than the other?
2000
(
√
3
−
1
√
3
)
m
2000
(
√
3
√
3
−
1
)
m
2000
(
√
3
√
3
+
1
)
m
All of the above
None of these
Validate
Solution:
👈: Video Solution
In ΔACD,
2000
x
=
tan
45
°
=
1
⇒
x
=
2000
In ΔBCD,
2000
−
h
x
=
tan
30
°
=
1
√
3
√
3
(
2000
−
h
)
=
x
......(2)
From equations (1) and (2)
2000
=
√
3
(
2000
−
h
)
h
=
2000
(
√
3
−
1
)
√
3
© examsnet.com
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