Answered

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a tree cast a shadow of 12 meters when a 5 meters pole cast a shadow of 4 meter how tall is the tree

Sagot :

402027160006idn

Answer:

12 : n = 4 : 5

12 (5) = 60

60 ÷ 4 = 15

That problem includes ratio. Therefore, the answer to your question is 15 m.

Step-by-step explanation:

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KAntoineDoixidn

✒️PROPORTION

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[tex] \large\underline{\mathbb{PROBLEM}:} [/tex]

  • a tree cast a shadow of 12 meters when a 5 meters pole cast a shadow of 4 meter how tall is the tree?

[tex]••••••••••••••••••••••••••••••••••••••••••••••••••[/tex]

[tex] \large\underline{\mathbb{ANSWER}:} [/tex]

[tex] \qquad \Large \: \rm{15 \: meters} [/tex]

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[tex] \large\underline{\mathbb{SOLUTION}:} [/tex]

» Determine the proportion. Let x be the height of the taller tree.

  • [tex] x \::\: 12 = 5 \::\: 4 [/tex]

  • [tex] 4x = 5(12) [/tex]

  • [tex] 4x = 60 [/tex]

  • [tex] \frac{4x}{4} = \frac{60}{4} \\ [/tex]

  • [tex] x = 15 [/tex]

[tex] \therefore [/tex] The height of the tree is 15 meters.

[tex]••••••••••••••••••••••••••••••••••••••••••••••••••[/tex]

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