Find Y. Round to the nearest tenth.

Mathematics

1 answer:

Dennis_Churaev [7]3 years ago

8 0

Answer:

Y ≈ 59.0°

Step-by-step explanation:

Using the Cosine rule

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

with x = 22, y = 20, z = 18

cosY = $\frac{22^2+18^2-20^2}{2(22)(18)}$

= $\frac{484+324-400}{792}$

= $\frac{408}{792}$ , then

Y = $cos^{-1}$ ( $\frac{408}{792}$ ) ≈ 59.0° ( to the nearest tenth )

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