A ladder of height 15 m casts a shadow of 12 m and a nearby tree casts a shadow of 14 m. Find the height of the tree assuming that the data is collected at the same place and at the same time.

17 m

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14m

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17.5 m

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14.5 m

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Solution

The correct option is C
17.5 m

Comparing the data of the ladder and the tree, the ratio is deduced considering the height of the tree to be taken as $x$ .
The ratio comes out to be $\frac{15}{12}$ = $\frac{x}{14}$
$⟹ x = \frac{14 \times 15}{12}$
Solving, we get the height of tree to be 17.5 m.

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A ladder of height 15 m casts a shadow of 12 m and a nearby tree casts a shadow of 14 m. Find the height of the tree assuming that the data is collected at the same place and at the same time.

Q. A ladder of height 15 m casts a shadow of 12 m and nearby there is a tree which casts a shadow of 14 m. Find the height of the tree assuming that the data is collected at the same place and at the same time.

A ladder of height 15 m casts a shadow of 12 m and a nearby tree casts a shadow of 14 m. Find the height of the tree assuming that the data is collected at the same place and at the same time.

Q. A ladder of height 15 m casts a shadow of 12 m and a nearby tree casts a shadow of 14 m. Find the height of the tree assuming that the data is collected at the same place and at the same time.

a) 13 m
b) 13.5 m
c) 17 m
d) 17.5 m

[1]

A ladder of height 15 m casts a shadow of 12 m and nearby there is a tree which casts a shadow of 14 m. Find the height of the tree assuming that the data is collected at the same place and at the same time.

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A ladder of height 15 m casts a shadow of 12 m and a nearby tree casts a shadow of 14 m. Find the height of the tree assuming that the data is collected at the same place and at the same time.

The correct option is C 17.5 m Comparing the data of the ladder and the tree, the ratio is deduced considering the height of the tree to be taken as x. The ratio comes out to be 1512 = x14 ⟹x=14×1512 Solving, we get the height of tree to be 17.5 m.

The correct option is C
17.5 m

Comparing the data of the ladder and the tree, the ratio is deduced considering the height of the tree to be taken as $x$ .
The ratio comes out to be $\frac{15}{12}$ = $\frac{x}{14}$
$⟹ x = \frac{14 \times 15}{12}$
Solving, we get the height of tree to be 17.5 m.