In a model of a ship The Mask flagstaff is 6 cm high while The Mask of the actual ship is 9 metre high if the length of the ship is 33 M how long is the model of the ship
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Consider triangle ABC the model of a ship,
triangle DEF the actual ship.
∆ ABC similar ∆ DEF
.: AB/DE=BC/EF=AC/DF
AB=height of mask flagstuff of model ship=6cm
DE=height of mask flagstuff of actual ship=900cm
BC=length of model ship =xcm
EF=length of actual ship=3300cm
AB/DE=BC/EF
6/900=x/3300
x=6×3300/900
x=22cm
.: Length of model ship is 22cm
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