Answer :

We get that

[tex]\frac{4}{63}=\frac{\frac{2}{9}+\frac{2}{7}}{2}\cdot h\rightarrow\frac{4}{63}=\frac{16}{63}\cdot h\rightarrow h=\frac{4}{63}\cdot\frac{63}{16}=\frac{1}{4}[/tex]

so the height is 1/4m

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