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Write ‘True’ or ‘False’ and justify your answer in each of the following:

If the length of the shadow of a tower is increasing, then the angle of elevation of the sun is also increasing.

Answers (1)

Case 1:

Case 2 :

\theta _{1} Is the angle when the length is small and \theta _{2} is the angle when shadow length is increased.
For finding \theta _{1}, \theta _{2} find tan \theta

\tan \theta_{1} = \frac{Perpendicular}{Base}= \frac{height\, of\, tower}{length\, of\, shadow}
\tan \theta_{2} = \frac{height\, of\, tower}{length\, of\, shadow}
In both the case height of the tower is the same but in case 2 length of the shadow is increased and if the length of the shadow increases value  \theta _{2} decreases.
Hence the given statement is false.

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