A triangular brace has an angle measure of 30 degrees, with a side opposite this angle measuring 8 inches. The base of the triangular brace, which is
adjacent to the given angle measure, is 6 inches in length. Which of the
following statements is correct?
A. The angle opposite the side measuring 6 inches has one solution
of approximately 28 degrees.
B. The angle opposite the side measuring 6 inches has two solutions
of approximately 28 degrees and 36 degrees.
O C. The angle opposite the side measuring 6 inches has one solution
of approximately 22 degrees.
D. There is not a solution for the angle opposite the side measuring 6
inches.

step-by-step explanation:

for the friend request.

when a figure, such as triangle (xyz) is reflected over the line y = x to create x'y'z' the x-coordinates and y-coordinates of the original image (pre-image) will be reversed for the image. (e.g., (x, y) > (y, x)) this means that the pre-image position of the x- and y-coordinates switch places which in turn provides a mirror like image of the original xyz.  

i notice that when i draw a line segment from x to x', that the points are parallel from each other -- they are exactly across from each other and do not intersect with any other points.  

yes, think i would see the same characteristic if you drew the line segment connecting y with the reflecting line and then y' with the reflecting line because of the essence of reflections. because it is a mirror image, each point was effected the same way which leads me to conclude that they same would apply to y and y'.