How do i find the lengths of a and b?

All you have to do it Identify the legs and the hypotenuse of the triangle. You know that the triangle is a right triangle since the ground and the raised portion of the porch are perpendicular—this means you can use the Pythagorean Theorem to solve this problem. Identify a, b, and c. Use the Pythagorean Theorem to find the length of c.

Sin(53)=a/6 
a=6*sin(53)=4.7918

Cos(53)=b/6
b=6*cos(37)=3.6109

Where the white dots are is where your points should be plotted.a translation is simply just moving something from one place to another. in this case, you would move each plot point of the original shape 2 units up, and 5 units to the left.