Question

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

Answer 1

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

Answer 2

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°