Answer: Approximately 1978.0935 feet
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Explanation:
The problem mentions "see the figure" but the figure above the text does not match the problem itself. I'm assuming the figure is shown below the given text, which unfortunately, is cut off from the screenshot.
The good news is that I think I can recreate what's being described. See the image below.
The things to focus on are the left-most and right-most triangles. We'll use the tangent ratio to help determine x and y. Afterward, compute x+y to get the total distance between the buildings.
First we have,
tan(angle) = opposite/adjacent
tan(32) = 500/x
x*tan(32) = 500
x = 500/tan(32)
x = 800.1673
Using similar steps, you should find that,
y = 500/tan(23)
y = 1177.9262
Therefore,
x+y = 800.1673+1177.9262
x+y = 1978.0935 feet is the approximate distance between Soldier Field and Adler Planetarium.
This is of course assuming that the diagram shown below matches with what your textbook has. Round the answer however you need.
