SOLUTION: Find Height of Arch <IMG SRC="http://image.prntscr.com/image/10c002eb6658420394424c9f7cf1c161.jpg" ALT="some text" WIDTH=700 HEIGHT=500>

Question 1036186: Find Height of Arch
Found 2 solutions by richard1234, robertb:
Answer by richard1234(7193) (Show Source): You can put this solution on YOUR website!
where x is the distance from the 80-degree angle endpoint to the midpoint of the base of the arch.

Then . Substitute expression for x into the first equation to obtain:

Solve for h, and use your calculator to evaluate and .
Answer by robertb(5830) (Show Source): You can put this solution on YOUR website!
Let x = the distance of the foot of the axis of the arch from the vertex of angle .
Then , and .
The first equation gives .
Substituting this into the 2nd equation gives
.
==>
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==> feet, the height of the Gateway Arch.
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