Question

In ️KLM, k=76 inches , I =30 inches and m=69 inches. Find the measure of

Answer 1

Given the information on the problem,we have the following triangle:

we can find the measure of angle M using the law of cosine:

`m^2=k^2+l^2-2kl\cos M`

in this case, we have the following:

`\begin{gathered} (69)^2=(76)^2+(30)^2-2(76)(30)\cos M \\ \Rightarrow4761=5776+900-4560\cos M \\ \Rightarrow4761-5776-900=-4560\cos M \\ \Rightarrow-1915=-4560\cos M \\ \Rightarrow\cos M=(-1915)/(-4560)=(383)/(912) \\ \Rightarrow M=\cos ^(-1)((383)/(912))=65 \\ M=65\degree \end{gathered}`

therefore, the measure of angle M is 65 degrees