Question

an electric lampis placed at a height of 10 m from pile A man is standing 12 m from pole at height of 2 m above How long that person shadow be??​

Answer 1

Answer:

I don't know sorry................

Answer 2

If the height of the lamp post is 10 m and the man of height 2 m is standing 12 m away from it then the person’s shadow will be 3 m long.

Step-by-step explanation:

Referring to the figure attached below the given data are as follows:

The height of the lamp post, AB = 10 m

The height of the man, CE = 2 m  

The distance between the lamp post and the man, BC = 12 m

Let the length of the shadow of the man CD be “x” m.

Step 1:

Let’s consider ∆ABD and ∆ECD, we have

∠B = ∠C = 90° ….. [both the lamp post and the man are vertical to the ground]

∠D = ∠D …… [common angles to both the triangles]

∴ By AA similarity, ∆ABD ~ ∆ECD

Since the corresponding sides of two similar triangles are proportional to each other.

∴ $\frac{AB}{CE} = \frac{BC}{CD}$ …… (i)

Step 2:

Now, substituting the above-given values of AB, CE, BD & CD in (i), we get

$\frac{10}{2} = \frac{12+x}{x}$

⇒ 5 = $\frac{12+x}{x}$

⇒ 5x = 12 + x

⇒ 4x = 12

⇒ x = 3 m

Thus, the length of the shadow of the man will be 3 m.

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