Question

At a particular time, the constant of ratio of length of a tree and the length of its shadow is found to be 1.2. Now, the length of the shadow of a flag pole is 12 m, calculate the length of the pole.

• A. 12 m
• B. 14.4 m
• C. 1.44 m
• D. 144 m

Answer 1

The correct option is B 14.4 m

Given,

$\frac{Lengthofthetree}{Lengthoftre{e}^{\prime }sshadow}=constant=1.2$ ...[ 1 ]

Let the height of the flag pole be $h_{fp}$.

Given, Length of flag pole's shadow $=12m$

Using the relation in equation 1, we have

$\frac{Lengthofthetree}{Lengthoftre{e}^{\prime }sshadow}=\frac{Lengthoftheflagpole}{Lengthofflagpol{e}^{\prime }sshadow}=constant=1.2$

$\Rightarrow \frac{h_{fp}}{12}=1.2$

$\Rightarrow h_{fp}=1.2\times 12=14.4m$

Hence, the correct answer is OPTION B.