Geometry

A park in a subdivision is triangular shaped. Two adjacent sides of the park are 487 feet and 465 feet. The angle between the sides is 49 degrees. To the nearest unit, what is the area of the park is square yards?

9,495 square yards
16,508 square yards
18,990 square yards
28,485 square yards

I've been on this question for a solid 30 minutes and I keep getting the same or a different wrong answer. I really need help please!!!

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  1. Are you told that this is a right triangle?

    If you aren't, you'll have to law of cosines for the length of the third side. You could then Heron's for the area.

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    posted by Alex
  2. No, it doesn't say that,

    I did use cosine and then Heron's Formula, I got something like 85,403 which is obviously incorrect!:(

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  3. That's not a math error, that's a conversion error. Answers are in yards, lengths are given in feet. Cheap trick-- I just noticed it myself.

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    posted by Alex
  4. so divide your 85,403 by 9
    9,489

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    posted by Damon
  5. Oh my goodness, I was JUST noticing that!XD Thank you so much!

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