Write 'True' or 'False' and justify your answer in each of the following:
If a man standing on a platform 3 metres above the surface of a lake observes a cloud and its reflection in the lake, then the angle of elevation of the cloud is equal to the angle of depression of its reflection.
Given:
If a man standing on a platform 3 metres above the surface of a lake observes a cloud and its reflection in the lake, then the angle of elevation of the cloud is equal to the angle of depression of its reflection.
To do:
We have to find whether the given statement is true or false.
Solution:
We draw a figure according to the question, after observation we find that the height $( h)$ of the cloud from the surface is much more than the depth of the reflection of clouds in the lake.
$\Rightarrow h>d$ [$h=$height of the of the cloud and $d=$ depth of the lake]
So, the values of $\theta_1>\theta_2$ [$\theta_1=$ angle of elevation and $\theta_2=$ angle of depression]
Hence, the given statement is not true.
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