Question

In a model of a ship, the mast is 9 cm high, while the mast of the actual ship is 12 m high. If the length of the ship is 28 m, how long is the model ship?​

Answer 1

$\huge\fcolorbox{cyan}{black}{\color{cyan}{Answer}}$

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$\bf \orange {\fbox {Given:-}}$

$↣{ᴍᴀsᴛ\:ᴏғ\:ᴛʜᴇ\: ᴍᴏᴅᴇʟ\: sʜɪᴘ=9ᴄᴍ}$

$↣{9Cm=0.09m}$

$↣{ᴍᴀsᴛ\:ᴏғ\:ᴛʜᴇ\: ᴀᴄᴛᴜᴀʟ\: sʜɪᴘ=12ᴍ}$

$↣{ʟᴇɴɢᴛʜ\: ᴏғ\: ᴛʜᴇ\: ᴀᴄᴛᴜᴀʟ\: sʜɪᴘ =28ᴍ}$

$↣{ʟᴇɴɢᴛʜ\: ᴏғ\: ᴛʜᴇ\: ᴍᴏᴅᴇʟ\: sʜɪᴘ =?}$

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$\bf \pink {\fbox {Formula\: to\: be\: used:-}}$

${\frac{mast\: of\: model\: ship}{mast\: of\: actual\: ship}}={\frac{length\: of\: model\: ship}{length\: of\: actual\: ship}}$

↣ ʟᴇᴛ ᴛʜᴇ ʟᴇɴɢᴛʜ ᴏғ ᴛʜᴇ ᴍᴏᴅᴇʟ sʜɪᴘ ʙᴇ 'x'

$↣{\frac{0.09}{12}}={\frac {x}{28}}$

$↣{x={\frac{0.09×28}{12}}}$

$\bf \red {\fbox {on\: solving\: we\: get:-}}$

$↣{x=0.21m}$

$\bf {\fbox {x=21cm}}$

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$\bf \green {\fbox {Therefore:-}}$

↣ ᴛʜᴇ ʟᴇɴɢᴛʜ ᴏғ ᴛʜᴇ ᴍᴏᴅᴇʟ sʜɪᴘ ɪs 21ᴄᴍ

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$\color{indigo} {\mid{\fbox{\cal{Hope\: it\: works}}\mid}}$