Question

Find the value of W and X

Answer 1

Answer:

W = 13.33

X = 13.10

Step-by-step 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

Answer 2

The answer should be x=13.10 and w=13.33