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In ΔEFG, e = 310 inches, m m∠G=89° and m m∠E=27°. Find the length of f, to the nearest 10th of an inch.

1 Answer

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Answer:

613.7 in

Explanation:

You want the length of side f in ∆EFG with e = 310 in, E = 27°, G = 89°.

Law of sines

The law of sines tells you ...

f/sin(F) = e/sin(E)

Angle F is the third angle in the triangle, so its measure is ...

F = 180° - 89° -27° = 64°

Then the length of f is ...

f = e·sin(F)/sin(E) = (310 in)·sin(64°)/sin(27°) ≈ 613.7 in

The length of f is about 613.7 inches.

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In ΔEFG, e = 310 inches, m m∠G=89° and m m∠E=27°. Find the length of f, to the nearest-example-1
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