Angle W and Y are right angles and equal to 90 degrees each. Angle z and angle x are same side interior angles and they have a sum of 180 degrees because of the same side interior angles postulate.
so W= 90 Y=90 X+Z= 180 . so 90+180+90 =360 degrees. B.
Set this up like a right triangle with the height of the triangle as 30, the angle across from that side, the reference angle, as 55, and the base is your unknown, x. This means that we have the angle, the side across from it, and the side adjacent to it. That sounds like the tangent ratio to me! Tangent of the angle is the side opposite over the side adjacent:

. Solving for x:

. Do that on your calculator in degree mode to get that the distance between the base of the ladder and the wall is 21 feet
The reciprocal of 9 2/3 is 3/29