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Stells [14]
3 years ago
15

15 POINTS.LAW OF COSINES.ANSWER WITH EXPLANATION.ILL GIVE BRAINLEST​

Mathematics
2 answers:
Rzqust [24]3 years ago
8 0

\text{Welcome!}\\\\\text{Your equation should look like:}\\c = \sqrt{a^2 + b^2 - 2 \a \ b\ cos Y} \\c = \sqrt{55^2 + 50^2 - 2 * 55 * 50 * cos (90 \ degrees)\\ \\\fbox{ c = 74.33034}\checkmark

Alexxandr [17]3 years ago
6 0

Answer:

∠Y ≈ 32.7°

Step-by-step explanation:

Using the cosine rule in Δ XYZ

cosY = \frac{x^2+z^2-y^2}{2xz} ← substitute values

        = \frac{90^2+50^2-55^2}{2(90)(50)}

        = \frac{7575}{9000}, thus

Y = cos^{-1}( \frac{7575}{9000}) ≈ 32.7°

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