Question

State true(1) or false(0):

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

Answer 1

The angle of elevation $\theta$ can be expressed as $\tan \theta =\frac{\text{height of the tower}}{\text{length of the shadow}}$.

$\therefore \tan \theta$ will decrease as the length of the shadow increases i.e $\theta$ will decrease.

So, the given assertion is false.