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Maths CBSE Mentoring
Class 10 Crash course
Some Applications of Trigonometry
Annual Revision III - Some Applications of trigonometry
9.
Find the height of the cloud
Question:
5
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 the
height
of the
cloud
above the lake is
\(x = h \left(\frac{tan \ \theta + tan \ \phi}{tan \ \phi - tan \ \theta} \right)\)
\(x = h \left(\frac{tan \ \phi - tan \ \theta}{tan \ \phi + tan \ \theta} \right)\)
\(x = h \left(\frac{tan \ \theta - tan \ \phi}{tan \ \phi - tan \ \theta} \right)\)
\(x = h \left(\frac{tan \ \phi + tan \ \theta}{tan \ \phi - tan \ \theta} \right)\)
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