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Mathematics

Height of vertical pole (in cm)566724482016
Length of its shadow on a horizontal ground (in cm)32abc

Ratio Proportion

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Answer

It is a case of direct variation:

5632=672a=448b=2016c\therefore \dfrac{56}{32} = \dfrac{672}{a} = \dfrac{448}{b} = \dfrac{2016}{c}

Taking,

5632=672a\dfrac{56}{32} = \dfrac{672}{a}

⇒ 56 x a = 672 x 32

⇒ a = 672×3256\dfrac{672 \times 32}{56}

⇒ a = 12 x 32

⇒ a = 384 cm

Taking,

5632=448b\dfrac{56}{32} = \dfrac{448}{b}

⇒ 56 x b = 32 x 448

⇒ b = 32×44856\dfrac{32 \times 448}{56}

⇒ b = 32 x 8

⇒ b = 256 cm

Taking,

5632=2016c\dfrac{56}{32} = \dfrac{2016}{c}

⇒ 56 x c = 2016 x 32

⇒ c = 2016×3256\dfrac{2016 \times 32}{56}

⇒ c = 36 x 32

⇒ c = 1,152 cm

Hence, the value of a = 384 cm, b = 256 cm and c = 1,152 cm.

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