A water tank casts a shadow 21 m long. A tree of height 9.5 m casts a shadow
8 m long at the same time. The lengths of the shadows are directly proportional
to their heights. Find the height of the tank.
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Step-by-step explanation:
Here we have a water tank and a tree
of height 9.5 m casting shadow at
same time
at same time both make equal inclined
angle so, by tanθ in (i) and (ii)
tanθ=
21
x
...(1);tanθ=
8
9.5
=
80
95
...(2)
by eq. (1) & (2)
21
x
=
80
95
⇒
80
95
⇒x=24.93
⇒x=24.90(appr.)
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