anonymous
  • anonymous
On a road trip you and your family stop a truck stop to take a break and to let your puppy Fido stretch. You notice that they have a triangular dog park that is fenced in on two sides. The third side of the field is formed by a creek. If the fences measure 150 feet and 98 feet, and the side along the creek is 172 feet, what are the measures of the angles made by the dog park? http://curriculum.kcdistancelearning.com/courses/GEOMx-HS-A09/b/assessments/R-LawsofSinesandLawofCosinesQuiz/Geometry_8.4_Quiz_FINAL_29q.png
Mathematics
katieb
  • katieb
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anonymous
  • anonymous
RadEn
  • RadEn
use the cosine rule : |dw:1367658839969:dw| cosY = (DY^2 + YG^2 - DG^2)/(2 DY DG) cosY = (150^2 + 98^2 - 172^2)/(2 * 150 * 98) simplipy the calculations above, then to get the measure of angle Y take the cos^-1(....)
anonymous
  • anonymous
y is 85

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anonymous
  • anonymous
D 35????
RadEn
  • RadEn
yeah, i got Y = 85 (nearest)
RadEn
  • RadEn
to got D, use the sine rule y sinD = d sinY 172 sinD = 98 sin85 sinD = 98 sin85/172 = 0.568 D = sin^-1(0.568) = 34.59... (take nearest = 35) u were right :)

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