Question

a At a certain time, a tree 6 m high casts a shadow of length 8 m. At the same time a pole casts a shadow of length 20 m. Find the height of the pole.​

Answer 1

Answer:

This can be done in direct proportion.

6/8 = 20/x

6× x = 20 × 8

x = 160/6 = 10

Thus, height of pole = 10m

Step-by-step explanation:

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Answer 2

Aиѕωєr —

• 15 m

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Giνєи —

➻ Height of tree = 6m

➻ Length of shadow of tree = 8 m

➻ Length of shadow of pole = 20 m

Tσ Fiиd —

• The height of pole ?

Sσℓυтiσи –

Here, the shadow of both the tree and the pole are cast at the same time , with a same angle of projection , therefore the ratios of their length of shadow and the ratios of their heights will be the same.

❍ Let the height of pole be h , then :

$\qquad\qquad\tt{\longrightarrow ratios\:of\:shadow=ratios\:of\: heights}$

$\qquad\qquad\tt{\longrightarrow 6:8=h:20}$

$\qquad\qquad\tt{\longrightarrow \dfrac{6}{8}=\dfrac{h}{20}}$

$\qquad\qquad\tt{\longrightarrow 8\times h = 20\times 6 }$

$\qquad\qquad\tt{\longrightarrow 8h = 120}$

$\qquad\qquad\tt{\longrightarrow h=\cancel{\dfrac{120}{8}}}$

$\qquad\qquad{\pmb{\tt{\longrightarrow h = 15 }}}$

❝ Hence , the height of pole is 15m. ❞

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