A 50 metres high tower casts a shadow 30 metres long on the ground at a certain time and at the same time, if a lighthouse casts a shadow 60 metres long, then the height of light house is
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100 metres
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Given,
The height of the tower Th = 50m.
Tower shadow Ts = 30m.
Lighthouse shadow Ls = 60m.
To Find,
The height of the lighthouse.
Solution,
Given that,
The tower's height Th = 50m.
The shadow of tower Ts = 30m.
The lighthouse's shadow Ls = 60m.
Let's take the lighthouse height= Lh
Therefore, to find the height let's compare the given values.
50 / 30 = Lh / 60
Lh = (50 × 60) / 30
Lh = 3000 / 30
Lh = 100m.
Hence, the lighthouse height which produces a shadow of 60m long is 100m.
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