Answer:
W = 13.33
X = 13.10
Explanation:
You use Trig
S = O/H. C = A/H. T = O/A
For W we have to find Adjacent using Opposite, so we're going to use Tangent
Now we have Tan = O/A and rearrange this to find Adjacent
Tan = O/A --> ATan = O --> A = O/Tan
then we plug in A = 12/Tan(42°) which gives us 13.3273.... I usually round up to the 2nd decimal, so 13.33
To find X we do the same thing with a little bit of additional work
Since we already did the work for the last one, we can just skip a few of those steps
A = 12/Tan(27°) which gives us 26.4322..... or 26.43
But that gives us the whole bottom bit, which is X+W, so just subtract the W
26.43 - 13.33 = 13.10
Sorry if I'm bad at simplifying my wording
I hope this is correct, my math seems right, but the picture is not to scale