52= 2(w-8) + 2x
X is the unknown length because the question is only telling us one side of the rectangle
To find the length of the ladder, you need to do Pythagorean theorem.
50^2 + 30^2 = x^2
2500 + 900 = x^2
x^2 =3400
x= square root of 3400
58.31 OR 10 root34
To find the angle:
tan theta = opposite/adjacent
50/30 = 5/3
theta = tan inverse of 5/3
= 59.04









Therefore , the value of x = -1
Cos α = sin (90-α) so cos 19 = sin 90-19 = sin 71