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© examsnet.com
Question : 27
Total: 27
A lamp post stand on a horizontal plane. From a point situated at a distance 150 m from its foot, the angle of elevation of the top is 30°. What is the height of the lamp post?
[NDA II 2014]
50m
50
√
3
m
50
√
3
m
100 m
Validate
Solution:
Distance between point of observation and foot of lamp = 150m
Angle of elevation of top of lamp = 30°
∘ Height of lamp h=AB
Now from fig ABC
the triangle ABC is a right angle triangle
Hence,
tan
C
=
A
B
B
C
A
B
=
150
1
√
3
Multiply and divided by
√
3
=
150
√
3
√
3
×
√
3
=
150
√
3
3
=
50
√
3
m
the height of the lamp post
=
50
√
3
m
© examsnet.com
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