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Maths CBSE Live product
Class 10
Some Applications of Trigonometry
PT2 Revision - Some Applications of Trigonometry
8.
Find the height of the cloud
Question:
4
m.
The
angle of
elevation
of a
cloud
from a point \(h\) metres above the
surface
of a
lake
is \(\theta\) and the angle of
depression
of its
reflection
in the lake is \(\phi\),
then, find the height of the cloud above the lake
\(x = h \left(\frac{tan \ \phi - tan \ \theta}{tan \ \phi + tan \ \theta} \right)\)
\(x = h \left(\frac{tan \ \theta + tan \ \phi}{tan \ \phi - tan \ \theta} \right)\)
\(x = h \left(\frac{tan \ \theta - tan \ \phi}{tan \ \phi - tan \ \theta} \right)\)
\(x = h \left(\frac{tan \ \phi + tan \ \theta}{tan \ \phi - tan \ \theta} \right)\)
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