3.An observer 2.25 m tall is 42.75 m away from a chimney. The angle of elevation of the top of the chimney from her eyes is 45°. What is the
height of the chimney
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Given:
An observer 2.25 m tall is 42.75 m away from a chimney
To find:
The height of the chimney
Solution:
As per the given diagram
In ΔABC
- tan 45° = AB/BC
- 1 = AB/BC
- AB = BC
as we know that man is 42.75 m away from the chimney so
- BC = 42.75 m
As per the diagram BE is the height of the chimney where
- AE = AB + BE
- AE = 42.75 + CD
- AE = 42.75 + 2.25
- AE = 45 m
So the height of the chimney is 45 m
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Answered by
2
Given:
An observer 2.25 m tall is 42.75 m away from a chimney
To find:
The height of the chimney
Solution:
As per the given diagram
In ΔABC
tan 45° = AB/BC
1 = AB/BC
AB = BC
as we know that man is 42.75 m away from the chimney so
BC = 42.75 m
BE is the height of the chimney where
AE = AB + BE
AE = 42.75 + CD
AE = 42.75 + 2.25
AE = 45 m
So the height of the chimney is 45 m
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