Question

The shadow of a man 5 ft long is 7 ft. At the same time the shadow of a tree
is 28 ft , then the height of tree .

Answer 1

Answer:

20 m is the height of the tree

Answer 2

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✧ The shadow of a man 5 ft long is 7 ft. At the same time the shadow of a tree  is 28 ft , then the height of tree .

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❏ We usually use concept of similar triangles to solve this type of figure.

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❏ Then once triangle are similar we use to equate ratio of sides and get our answer !

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❏ Refer Attachment for figure .-.

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❏ Shadow of man = 7 ft.

❏ Shadow of tree = 28 ft.

❏ Height of man = 5 ft.

❏ Height of tree = ? ft.

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Let's Start !

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First of all let's make ΔABC ∼ ΔADE

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$\bold{ \red{ In \; \triangle ABC \; and \; \triangle ADE }}$

$\bold{ \blue{ \implies \angle A = \angle A \ \ \ \ (Common\; angle) }}$

$\bold{ \orange{ \implies \angle ABC = \angle ADE = 90^{\circ} }}$

$\boxed {\bold{ \therefore \; \triangle ABC \; \sim \; \triangle ADE }}$

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Now by CPCT ;

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$\bold{ \red { :\leadsto \; \frac{AB}{AD} = \frac{BC}{DE} } }$

$\bold{ \green { :\leadsto \; \frac{7 \;ft.}{28 \; ft.} = \frac{5 \; ft.}{x} } }$

$\bold{ \purple { :\leadsto \; x = (5 \times 4) \;ft. } }$

$\boxed{ \bold{ \red { :\leadsto \; x = 20 \;ft } } }$

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$\boxed{\boxed{\bold{\therefore Height \; of \; Tree = 20 \; ft.}}}$

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Hope this helps u.../

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