Question

Can someone help me with #2

I need a specific explanation.

Answer 1

62.2

Explanation:

Hello There!

we need to find the missing angle using law of cosines

The law of cosines formula for finding an angle is

`cosC=(a^2+b^2-c^2)/(2ab)`

Important note: c^2 = opposite side of missing angle

so we are given all of the measurements so all we need to do is plug in the values

`cosX=(19^2+30^2-27^2)/(2(19)(30)) \\19^2=361\\30^2=900\\27^2=729\\\\900+361-1261\\1261-729=532\\2(19)(30)=1140\\(532)/(1140) =.4666666667\\cosX=.4666666667`

so our last step would be to isolate the variable (x)

to do so we take the inverse of cos -^1(arccos) and multiply that by each side

`X=arccos(.4666666667)\\X=62.18186071`

then we would round to the nearest tenth and get that x = 62.2