Respuesta :

The value of a can be determined from the pythagoras theorem as,

[tex]\begin{gathered} 9^2=a^2+7^2 \\ 81=a^2+49 \\ a^2=81-49 \\ a^2=32 \\ a=5.65\approx5.7\text{ m} \end{gathered}[/tex]

Thus, the missing leg length is 5.7 m to the nearest tenth.