If a tree of height 12 m casts a shadow of 30 m, then a tree of height 16 m will cast a shadow of .

32 m

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35 m

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40 m

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45 m

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Solution

The correct option is C 40 m
As the height of the tree increases height of its shadow also increases. Hence height of the tree and shadow are in direct proportion.
$⟹$ $\frac{30}{12}$ = $\frac{h e i g h t o f s h a d o w}{16}$
Height of shadow of 16 m tree = $\frac{30 \times 16}{12}$
Height of shadow of 16 m tree = 40 m.

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If a tree of height 12 m casts a shadow of 30 m, then a tree of height 16 m will cast a shadow of .

The correct option is C 40 mAs the height of the tree increases height of its shadow also increases. Hence height of the tree and shadow are in direct proportion. ⟹3012 = height of shadow16 Height of shadow of 16 m tree = 30×1612 Height of shadow of 16 m tree = 40 m.