Question

13. What is the length of the missing side, x?40 in74035 in51049 in.74°55°

Answer 1

Okay, here we have this:

Considering the provided triangle, we are going to calculate the side "x", so we obtain the following:

To find this measure we will use the law of sines, so we have:

`\begin{gathered} (c)/(\sin(C))=(a)/(\sin(A)) \\ c=(a\cdot\sin(C))/(\sin(A)) \\ x=(49*\sin(74))/(\sin(180-74-55)) \\ x=(49*\sin(74))/(\sin(51)) \\ x\approx60.61\text{ in} \end{gathered}`

Finally we obtain that the measure of x is approximately 60.61 in.