Answer:
Gateway Arch is [tex]292.46[/tex] feet tall
Step-by-step explanation:
As we know,
the horizontal distance from the gate of the Arch to the bench [tex]= 724[/tex] feet
The angle of elevation is [tex]22[/tex] degree
Let H be the height of the gate be "H"
Tanθ= Perpendicular/Base
Substituting the given values in above equation, we get -
[tex]tan 22 = \frac{H}{724} \\H = 724 * tan 22\\H = 724 * 0.404\\H = 292.46[/tex]feet
