A tree with a height of 22 ft casts a shadow 5 ft long on the ground. How high is another tree that casts a shadow which is 2 ft long?

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Answer :

Let shadow be x

[tex]\\ \sf\longmapsto 5:22=2:x[/tex]

[tex]\\ \sf\longmapsto \dfrac{5}{22}=\dfrac{2}{x}[/tex]

[tex]\\ \sf\longmapsto 5x=44[/tex]

[tex]\\ \sf\longmapsto x\approx 9[/tex]

[tex]5 : 22 = 2 : x[/tex]

[tex]\frac {5}{22} = \frac {2}{x}[/tex]

[tex]5x = 44 [/tex]

[tex]x = 9[/tex]

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