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.
