Question

At a particular time, the length of the shadow of Qutub Minar whose height is 72 m is 80 m. What will be the height of an electric pole, the length of whose shadow at the same time is 1000 cm?

• A. 7.2 m
• B. 9.0 m
• C. 9.6 m
• D. 10.2 m

Answer 1

The correct option is B

9.0 m

As the length of the object increases, the length of shadow of the object will also increase. So, this is a case of direct proportion.

Let the height of electric pole be $x$.

(Change 1000 cm to 10 m)
$\begin{array}{ccc}Lengthofobject\left(m\right)& 72& x\\ Lengthofshadow\left(m\right)& 80& \frac{1000}{100}\end{array}$


Then, $x=\frac{72\times 10}{80}$
$x=9\text{m}$