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3 years ago

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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