Inverse trigonometric ratios
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Step-by-step explanation:

First we go to find the length of ZXNotice that the angle of 25 degrees is opposite of the side length of 15 and ZX is what were trying to find.Set up the equation sin25=15/xNow move the 15 to the other side, x*sin25=15now use your calculator to find x=35.4930238935now find angle x( the triangle on the right)notice that we the the side opposite to as 22 and the adjcent as 35.4930238935,we can use the tangent function to find the angleset up the equation tanx=22/35.4930238935tanx=0.619840114666x=tan^-1(0.619840114666)x=51.69554°now know that a triangle has a total of 180 degrees, now we have the two angles we can make a equation for W to find the angleW+51.69554+90=180W+51.69554=90W=38.30446So the final Answer is m of W = 38.30446 degrees.