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choli [55]
3 years ago
11

What is side eAngle d and angle fPlease let me know asap

Mathematics
1 answer:
irga5000 [103]3 years ago
8 0

9514 1404 393

Answer:

  • e ≈ 9.608
  • D ≈ 46.5°
  • F ≈ 38.5°

Step-by-step explanation:

The only given angle is between the two given sides, so the Law of Cosines must be used to find the side opposite the angle. It tells you ...

  e² = d²+f² -2df·cos(E)

  e² = 7² +6² -2·7·6·cos(95°) ≈ 92.321082

  e ≈ 9.608

The remaining angles can be found from the law of sines.

  sin(D)/d = sin(E)/e

  D = arcsin(d/e·sin(E)) ≈ arcsin(7/9.608·sin(95°)) ≈ 46.5°

  F = 180° -95° -46.5° = 38.5°

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