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In ΔDEF, d = 6.4 inches, e = 7.8 inches and ∠F=33°. Find the length of f, to the nearest 10th of an inch.

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9514 1404 393

Answer:

4.3 in

Explanation:

The Law of Cosines is applicable when you have two sides and the angle between them. The third side satisfies ...

f² = d² + e² -2de·cos(F)

f² = 6.4² + 7.8² -2·6.4·7.8·cos(33°) ≈ 18.0671

f ≈ √18.0671 ≈ 4.2505

The length of f is about 4.3 inches.

In ΔDEF, d = 6.4 inches, e = 7.8 inches and ∠F=33°. Find the length of f, to the nearest-example-1
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