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?
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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?
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[tex]\huge\fcolorbox{cyan}{black}{\color{cyan}{Answer}}[/tex]
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[tex] \bf \orange {\fbox {Given:-}} [/tex]
[tex] ↣{ᴍᴀsᴛ\:ᴏғ\:ᴛʜᴇ\: ᴍᴏᴅᴇʟ\: sʜɪᴘ=9ᴄᴍ} [/tex]
[tex] ↣{9Cm=0.09m} [/tex]
[tex] ↣{ᴍᴀsᴛ\:ᴏғ\:ᴛʜᴇ\: ᴀᴄᴛᴜᴀʟ\: sʜɪᴘ=12ᴍ} [/tex]
[tex] ↣{ʟᴇɴɢᴛʜ\: ᴏғ\: ᴛʜᴇ\: ᴀᴄᴛᴜᴀʟ\: sʜɪᴘ =28ᴍ} [/tex]
[tex] ↣{ʟᴇɴɢᴛʜ\: ᴏғ\: ᴛʜᴇ\: ᴍᴏᴅᴇʟ\: sʜɪᴘ =?} [/tex]
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[tex] \bf \pink {\fbox {Formula\: to\: be\: used:-}} [/tex]
[tex] {\frac{mast\: of\: model\: ship}{mast\: of\: actual\: ship}}={\frac{length\: of\: model\: ship}{length\: of\: actual\: ship}} [/tex]
↣ ʟᴇᴛ ᴛʜᴇ ʟᴇɴɢᴛʜ ᴏғ ᴛʜᴇ ᴍᴏᴅᴇʟ sʜɪᴘ ʙᴇ 'x'
[tex] ↣{\frac{0.09}{12}}={\frac {x}{28}} [/tex]
[tex] ↣{x={\frac{0.09×28}{12}}} [/tex]
[tex] \bf \red {\fbox {on\: solving\: we\: get:-}} [/tex]
[tex] ↣{x=0.21m} [/tex]
[tex] \bf {\fbox {x=21cm}} [/tex]
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[tex] \bf \green {\fbox {Therefore:-}} [/tex]
↣ ᴛʜᴇ ʟᴇɴɢᴛʜ ᴏғ ᴛʜᴇ ᴍᴏᴅᴇʟ sʜɪᴘ ɪs 21ᴄᴍ
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[tex] \color{indigo} {\mid{\fbox{\cal{Hope\: it\: works}}\mid}}[/tex]