At a particular time, the constant of ratio of length of a tree and the length of its shadow is found to be $1.5$ . Now, the length of the shadow of a flag pole is $15 m$ , calculate the length of the pole.

15 m

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22.5 m

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2.25 m

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13.5 m

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Solution

The correct option is D $22.5 m$
Given,

$\frac{L e n g t h o f t h e t r e e}{L e n g t h o f t r e e^{'} s s h a d o w} = c o n s t a n t = 1.5$ ...[ 1 ]

Let the height of the flag pole be $h_{f p}$ .
Given, Length of flag pole's shadow $= 15 m$

Using the relation in equation 1, we have

$\frac{L e n g t h o f t h e t r e e}{L e n g t h o f t r e e^{'} s s h a d o w} = \frac{L e n g t h o f t h e f l a g p o l e}{L e n g t h o f f l a g p o l e^{'} s s h a d o w} = c o n s t a n t = 1.5$

$\Rightarrow \frac{h_{f p}}{15} = 1.5$

$\Rightarrow h_{f p} = 1.5 \times 15 = 22.5 m$

Hence, the correct answer is OPTION B.

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At a particular time, the constant of ratio of length of a tree and the length of its shadow is found to be 1.5. Now, the length of the shadow of a flag pole is 15m, calculate the length of the pole.

At a particular time, the constant of ratio of length of a tree and the length of its shadow is found to be $1.5$ . Now, the length of the shadow of a flag pole is $15 m$ , calculate the length of the pole.