Question

Find Y.

Answer 1

Answer:

∠ Y ≈ 32.7°

Step-by-step explanation:

Using the law of Cosines

cosY = $\frac{x^2+z^2-y^2}{2xz}$

with x = 90, y = 55, z = 50

cosY = $\frac{90^2+50^2-55^2}{2(90)(50)}$ = $\frac{8100+2500-3025}{9000}$ = $\frac{7575}{9000}$ , then

∠ Y = $cos^{-1}$ ($\frac{7575}{9000}$ ) ≈ 32.7° ( to the nearest tenth )