Question

In AWXY, W = 4.8 inches, x = 7.2 inches and y=9.3 inches. Find the measure of ZWto the nearest degree.us.sheiUP TO 8098

Answer 1

Let's begin by identifying key information given to us:

`\begin{gathered} W=4.8in, \\ X=7.2in, \\ Y=9.3in \\ \end{gathered}`

Let's draw a diagram of the question

We have 3 known sides & 1 unknown angle. We will use Law of cosines

`\begin{gathered} a^2=b^2+c^2-2bc\cos A \\ 2bc\cos A=b^2+c^2-a^2 \\ \cos A=(b^2+c^2-a^2)/(2bc) \\ A=\cos ^(-1)((b^2+c^2-a^2)/(2bc)) \\ a=w,b=x,c=y \\ W=\cos ^(-1)((7.2^2+9.3^2-4.8^2)/(2(7.2)(9.3))) \\ W=\cos ^(-1)((115.29)/(133.92)) \\ W=\cos ^(-1)(0.8609) \\ W=30.58\approx31 \\ W=31^(\circ) \end{gathered}`