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The 2-meter tall lady makes a 12-meter long shadow, and the palm tree makes an 84m long shadow. What is the height in meter of the tree?​

Sagot :

ZhylixPhairaidn

Answer:

[tex]\large \tt {14 \: \: \:meters}[/tex]

Step-by-step explanation:

1-2. Understand the problem carefully and illustrate the problem. (illustration of the problem is indicated).

[tex]\: [/tex]

3. Setting up the equation, establish the best proportion.

  • [tex]\large \tt \dfrac{h}{2}[/tex] = [tex]\large \tt \dfrac{84}{12}[/tex]

[tex]\: [/tex]

4. Solving the problem, using the equation.

  • [tex]\large \tt \dfrac{h}{2}[/tex] = [tex]\large \tt \dfrac{84}{12}[/tex]

Setting up the ratios and then cross multiply.

  • [tex]\large \tt{(h)(12 \:) =}[/tex][tex]\large \tt(84)(2)[/tex]

  • [tex]\large \tt{12h \: =}[/tex] [tex]\large \tt{168}[/tex]

  • [tex]\large \tt \dfrac{12h}{12}[/tex] = [tex]\large \tt \dfrac{168}{12}[/tex]

  • [tex]\large \tt \purple{h \: = 14 }[/tex]

[tex]\: [/tex]

5. Writing a therefore statement.

∵ Therefore, the height of the palm tree is 14 meters.

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