Question

In a model of a ship, the mast is 9 cm high, while the mast of the actual ship is 15 m high. if
the length of the ship is 35 metres, how long is the model ship?​

Answer 1

Step-by-step explanation:

Given: In a model of a ship, the mast is 9cm high. The mast of the actual ship is 15m high. The length of the ship is 35m.

Need to find: Length of model ship ?

❏ Let the length of the model ship be x cm. And the table for the given data is shown in the attachment.

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$\bf {Here} \begin{cases} &\sf{Length\ in\ actual\ ship\ increases.} \\ &\sf{Length\ in\ model\ ship\ also\ increases.} \end{cases}$

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$\frak{\underline{\underline{\dag According\ to\ the\ question:-}}}$

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• Length in model ship and in actual ship are in direct proportion.

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Therefore,

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$\sf : \implies {\dfrac{9}{15}\ =\ \dfrac{x}{35}} \\ \\ \\ \sf : \implies {\dfrac{9}{15}\ \times\ 35\ =\ x} \\ \\ \\ \sf : \implies {\dfrac{3}{5}\ \times\ 35\ =\ x} \\ \\ \\ \sf : \implies {3\ \times\ 7\ =\ x} \\ \\ \\ \sf : \implies {21\ =\ x} \\ \\ \\ \sf : \implies {\underline{\fbox{\pink{\bf x\ =\ 21.}}}}\bigstar$

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$\sf \therefore {\underline{Hence,\ the\ length\ of\ the\ model\ ship\ is\ \bf 21m.}}$