A Sm 60 cm high vertical pole casts a shadow 3m 20cm. Find at the same time
the length of the shadow cast by another pole10m 50cm high

Given:

Height of pole  =  5 m 60 cm  =  560 cm     (1 m = 100 cm  ;  5 m  = 500 cm)

Length of shadow  =  3 m 20 cm  =  320 cm

To do:  Find the shadow length casted by another pole of height 10m 50cm high

Solution: 

Ratio  =  Height of pole  :  Length of shadow 

             =  560  :  320  

Ratio  =  7 : 4

Height of pole  = 10 m 50 cm  =  1050 cm 

Length of shadow  =  $x$

Ratio will be same, because the time is same.

$1050 : x$  =  7 : 4 $\frac{1050}{ x}  =  \frac{7}{4}$ 

$\frac{1}{ x}  =  \frac{7 }{ 4 \times 1050}$

$\frac{1}{ x}  =  \frac{1}{4 \times 150}$

$\frac{1}{ x}  =  \frac{1}{ 600}$

$x$  =  600 cm  

$x$  =  6 m

The Length of shadow of height 10 m 50 cm is   6 m

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Updated on: 10-Oct-2022

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