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Test Index
JEE Main Math Class 11 Straight Lines and Pair of Straight Lines 2 Questions
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© examsnet.com
Question : 42
Total: 88
The angle of elevation of the top
P
of a tower from the feet of one person standing due South of the tower is
45
∘
and from the feet of another person standing due west of the tower is
30
∘
. If the height of the tower is 5 meters, then the distance ( in meters) between the two persons is equal to
[11-Apr-2023 shift 2]
10
5
√
5
5
2
√
5
5
Validate
Solution:
Tower
AB
=
5
m
∠
APB
=
45
∘
∠
PAB
=
90
∘
tan
45
∘
=
AB
AP
1
=
AB
AP
AP
=
5
m
tan
30
∘
=
AB
AQ
1
1
√
3
=
5
AQ
AQ
=
5
√
3
AP
2
+
AQ
2
=
PQ
2
PQ
2
=
5
2
+
(
5
√
3
)
2
PQ
2
=
25
+
75
=
100
PQ
=
10
cm
Option (A)
10
cm
correct.
© examsnet.com
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