1) Let x be the height of the trans-American pyramid and y the height of the space needle.
From the statement, the equation we can get is:
[tex]x=76+y[/tex]Furthermore, x=260, then
[tex]\begin{gathered} x=260 \\ \Rightarrow y=260-76=184 \end{gathered}[/tex]The space needle is 184 meters.
2) Let z be the gateway arch height. Then, the statement can be written into algebraical form as:
[tex]\begin{gathered} z=8+y \\ \Rightarrow z=8+184=192 \\ \Rightarrow z=192 \end{gathered}[/tex]The gateway arch is 192 meters