ANSWER
[tex]x=60m[/tex]EXPLANATION
We want to find the value of x in the right triangle.
To find x, we have to apply the Pythagoras theorem:
[tex]\text{hyp}^2=a^2+b^2[/tex]where hyp = hypotenuse
a and b are the legs of the triangle
Therefore, we have that:
[tex]\begin{gathered} 100^2=80^2+x^2 \\ 10000=6400+x^2 \\ x^2=10000-6400 \\ x^2=3600 \\ \Rightarrow x=\sqrt[]{3600} \\ x=60m \end{gathered}[/tex]That is the value of x.
