Examsnet
Unconfined exams practice
Home
Exams
Banking Entrance Exams
CUET Exam Papers
Defence Exams
Engineering Exams
Finance Entrance Exams
GATE Exam Practice
Insurance Exams
International Exams
JEE Exams
LAW Entrance Exams
MBA Entrance Exams
MCA Entrance Exams
Medical Entrance Exams
Other Entrance Exams
Police Exams
Public Service Commission (PSC)
RRB Entrance Exams
SSC Exams
State Govt Exams
Subjectwise Practice
Teacher Exams
SET Exams(State Eligibility Test)
UPSC Entrance Exams
Aptitude
Algebra and Higher Mathematics
Arithmetic
Commercial Mathematics
Data Based Mathematics
Geometry and Mensuration
Number System and Numeracy
Problem Solving
Board Exams
Andhra
Bihar
CBSE
Gujarat
Haryana
ICSE
Jammu and Kashmir
Karnataka
Kerala
Madhya Pradesh
Maharashtra
Odisha
Tamil Nadu
Telangana
Uttar Pradesh
English
Competitive English
Certifications
Technical
Cloud Tech Certifications
Security Tech Certifications
Management
IT Infrastructure
More
About
Careers
Contact Us
Our Apps
Privacy
Test Index
UPSC CDS I 2019 Math Paper
Show Para
Hide Para
Share question:
© examsnet.com
Question : 54
Total: 100
Consider a regular hexagon ABCDEF . Two towers are situated at B and C. The angle of elevation from A to the top of the tower at B is 30°, and the angle of elevation to the top of the tower at C is 45°, What is the ratio of the height of towers at B and C ?
[2019 CDS-I]
1 :
√
3
1 : 3
1 : 2
1 : 2
√
3
Validate
Solution:
Let the height of towers at B and C be h and k, respectively, and the side of hexagon be x.
h
x
=
tan
30
°
h
=
x
√
3
A
C
2
=
x
2
+
x
2
–
2
x
2
cos
120
°
=
2
x
2
+
2
x
2
cos
60
°
=
3
x
2
⇒
A
C
=
√
3
x
k
A
C
=
tan
45
°
=
1
⇒
k
=
A
C
=
√
3
x
h
k
=
x
√
3
√
3
x
=
1
3
=
1
:
3
© examsnet.com
Go to Question:
1
2
3
4
5
6
7
8
9
10
11
12
13
14
15
16
17
18
19
20
21
22
23
24
25
26
27
28
29
30
31
32
33
34
35
36
37
38
39
40
41
42
43
44
45
46
47
48
49
50
51
52
53
54
55
56
57
58
59
60
61
62
63
64
65
66
67
68
69
70
71
72
73
74
75
76
77
78
79
80
81
82
83
84
85
86
87
88
89
90
91
92
93
94
95
96
97
98
99
100
Prev Question
Next Question