$K_a=\frac{1-sin{}^{\text{'}}}{1+sin{}^{\text{'}}}=ta{n}^2(45-\frac{{}^{\text{'}}}{2}),K_p=\frac{1+sin{}^{\text{'}}}{1-sin{}^{\text{'}}}=ta{n}^2(45+\frac{{}^{\text{'}}}{2})$

$K_a=\frac{1}{K_p}=\frac{1-sin{}^{\text{'}}}{1+sin{}^{\text{'}}},$

$K_0=1-sin{}^{\text{'}},$

${}_a=(*z+q)*K_a-2*c*\sqrt[\phantom{2}]{K_a},{}_p=(*z+q)*K_p+2*c*\sqrt[\phantom{2}]{K_p}$

Using the Rankine theory, determine the total active thrust on a vertical retaining wall $5m$ high if the soil retained has a horizontal surface level with the top of the wall and has the following properties: ${}^{\text{'}}=35$;$=19k\frac{N}{m^3}.$