Question

largest angle. complete her work and find the measure of angle y to the nearest degree. 1. 12² = 11² + 6² - 2(11)(6)cos(y) 2. 144 = 121 + 36 - (132)cos(y) 3. 144 = 157 - (132)cos(y) 4. -13 = -(132)cos(y) degrees

Explanation:

Step1: Isolate $\cos(Y)$

Starting from $- 13=-(132)\cos(Y)$, divide both sides by $-132$. We get $\cos(Y)=\frac{-13}{-132}=\frac{13}{132}$.

Step2: Find the angle $Y$

Use the inverse - cosine function $Y = \cos^{-1}(\frac{13}{132})$. Calculate $\cos^{-1}(\frac{13}{132})\approx84.3^{\circ}$. Rounding to the nearest degree, $Y\approx84^{\circ}$.

Answer:

84