Question

A tree is 12 m tall and casts an 8 m long shadow. At the same time, a flagpole casts a 100 m long shadow. How long is the flagpole?

a)150
b)200
c)125
d)115

please full solution.
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Answer 1

Answer:

At the same time, a flag pole casts a 100 m long shadow. How long is the flag pole? Description for Correct answer: Because, 8 m shadow means original height = 12 m.

Answer 2

Original height of 8m shadow:-

$\sf :\implies \blue{ 12 m}$

Original height of 1m shadow:-

$\sf : \implies \pink { \dfrac{12}{8} m}$

Then,

Original height of 100m shadow:-

$\sf : \implies \green{( \dfrac{6}{4} ) \times 100} \\ \\ : \implies \sf \red{ 6 \times 25 } \\ \\ : \implies\sf \purple{150 m}$

$\therefore \bf \orange{\: long \: of \: the \: flag \: pole \: = 150m}$