A lamp of negligible height is placed on the ground 'h' metre away from a wall. A man "I" metre tall is walking at a speed of l/10 m/sec. from the lamp to the nearest point on the wall. When he is mid-way between the lamp and the wall, the rate of change in the length of this shadow on the wall is.
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Explanation:
Since, the two triangles are similar,
l
1
h
=
x
l
2
⇒h=
x
l
1
l
2
⇒
dt
dh
=−
x
2
l
1
l
2
dt
dx
(As h is decreasing)
Given, x=
2
l
1
and
dt
dx
=
10
l
1
So,
dt
dh
=−
5
2l
2
m/sec
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Answer:
A lamp of negligible height is placed on the ground 'h' metre away from a wall. A man "I" metre tall is walking at a speed of l/10 m/sec. from the lamp to the nearest point on the wall. When he is mid-way between the lamp and the wall, the rate of change in the length of this shadow on the wall is.
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Explanation:
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