Math, asked by manvendra1988aligarh, 19 days ago

The shadow of a man 150 cm tall is 160 cm. What will be the length of shadow of a woman who is 120 cm tall?​

Answers

Answered by Sabakhn387
0

Step-by-step explanation:

Solution

Verified by Toppr

Let x= distance of man from pole

Given

dt

dx

=1.1 m/s

ΔABC∼ΔPRC (By AA rule)

PR

AB

=

RC

BC

1.6

6

=

y

x+y

⇒6y=1.6x+1.6y

⇒4.4y=1.6x

⇒y=

11

4

x we have to find

dx

dy

x=1m

dt

dy

=

11

4

×

dt

dx

dt

dy

=

11

4

×1.1 m/s

=0.4 m/s

at x=1m,

dt

dy

=0.4 m/s.

Answered by junaida8080
1

Answer:

The length of shadow of a woman who is 120 cm tall is 128 cm.

Step-by-step explanation:

Given the shadow of a man 150cm tall is 160cm.

We need to find the length of the shadow of a woman who is 120cm tall.

This question is to do with Enlargement - so we find the amount of enlargement or scale factor (SF), then multiply the height of the woman by the SF to find the height of the shadow of the woman.

Amount of enlargement: length of shadow divide by height of man: \frac{160}{150}=\frac{16}{15}.

The SF is \frac{16}{15}. Multiply the height of the woman by the SF to find the height of the shadow of the woman.

120\times \frac{16}{15}

=8\times 16

=128cm

The length of the shadow of a woman who is 120 cm tall is 128 cm.

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