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An archaeological site is to be made accessible for viewing by the public. To do this, archaeologists built two straight paths f
rom point A to point B and from point B to point C as shown in the following diagram. The length of path AB is 185 m, the length of path BC is 250 m, and angle B is 125°, diagram not to scale Archaeological Site a. Find the length of AC
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Essentially, we are trying to find the missing constant term of (remember that we are subtracting
due to the negative sign in front of the second term). Let's expand this to see what we can work with:
- Set up
- FOIL and simplify
Now, we know the second term is , so let's set the second term in the polynomial we just found equal to
:
- Set up
- Divide both sides of the equation by
- Divide both sides of the equation by 2
We have found . We know the missing constant term is
, according to the polynomial we found earlier. Thus, the missing term is:
The missing constant term is 36.