Question

If the angle of elevation of sun is $\theta$ and the length of the shadow of a pole of length is $s$, then

• A. $p=s\cos \theta$
• B. $p=s\sin \theta$
• C. $p=\frac{s}{\cot \theta }$
• D. $p=s\cot \theta$

Answer 1

The correct option is C $p=\frac{s}{\cot \theta }$

Now, from the figure,
$\tan \theta =\frac{P}{B}=\frac{p}{s}$
$p=s\tan \theta$
$p=\frac{s}{\cot \theta }$