Question

Dumitru are înălțimea de 1,5m. Daca AB supra AC= 0,(3). Afla ce înălțime are zidul. ​

Answer 1

$\it \dfrac{AB}{AC}=0,(3)=\dfrac{\ 3^{(3}}{9}=\dfrac{1}{3} \Rightarrow \dfrac{AB}{AC}=\dfrac{1}{3} \Rightarrow \dfrac{AC}{AB}=3 \Rightarrow AC=3AB\\ \\ \\ Dac\breve a\ \ AB=a,\ atunci\ AC=3a\ \ (\hat\imath n\breve a l\c{\it t}imea\ zidului)\\ \\ BC=AC-AB=3a-a=2a\\ \\ Dar,\ BC=\hat\imath n\breve al\c{\it t}imea\ lui\ Dumitru,\ adic\breve a\ 2a=1,5\Big|_{:2} \Rightarrow a=0,75\\ \\ \\ AC=3a=3\cdot0,75=2,25\ m\ (\hat\imath n\breve al\c{\it t}imea\ \ zidului})$