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
Step-by-step explanation:
Solution
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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.
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 tall is .
We need to find the length of the shadow of a woman who is 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: .
The SF is . Multiply the height of the woman by the SF to find the height of the shadow of the woman.
The length of the shadow of a woman who is 120 cm tall is 128 cm.