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Q.

A 1m long vertical bar casts a 60cm long shadow. At the same time, the tower casts a 35 cm shadow. Determine the height of the tower. 


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a

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b

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c

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d

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answer is A.

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Detailed Solution

Concept-
First, find  the height of the vertical bar and its shadow ratio. Next, find the ratio of tower height to shadow. Then compare the ratios and simplify the equation to find the height of the tower.
To find Tower height.  The height of the  tower is x.  The  problem number is  Next, find the ratio of the height of the vertical bar to its shadow. Question Image Replace the height of the vertical bar from meters to centimeters. Question Image Reduce the greatest common divisor of the numerator and denominator Question Image Next, find the ratio of tower height  to shadow. Question Image Compare both ratios and make them equal.  Question ImageMultiply the equation and Question ImageTherefore, the height of the tower is 70 cm.  
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