Question

The trans American pyramid in San Francisco is 76 meter taller than the space needle in Seattle .The trans American is 260 meters.What is the height of the space needle ?The gateway arch is 8 meters taller than the space needle .what is the height of the gateway arch ?

Answer 1

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:

`x=76+y`

Furthermore, x=260, then

`\begin{gathered} x=260 \\ \Rightarrow y=260-76=184 \end{gathered}`

The space needle is 184 meters.

2) Let z be the gateway arch height. Then, the statement can be written into algebraical form as:

`\begin{gathered} z=8+y \\ \Rightarrow z=8+184=192 \\ \Rightarrow z=192 \end{gathered}`

The gateway arch is 192 meters