
The Area of Shaded region is equal to the difference in Area of rectangle and Area of triangle .
let's solve for area of rectangle :



Now, Area of Triangle :



So, the area of the shaded region in terms of x :


And since, Area of Shaded region = 44 cm²
By equating the area, we get

Value of x = 2

It's true because a pint is used to locate co-ordinates and has no size or dimension
This is the concept of trigonometry, the distance from the foot of the ladder will be given by:
tan theta=[opposite]/[adjacent]
opposite=17 ft
adjacent=x ft
theta=37°
thus
tan 37=17/x
x=17/tan 37
x=22.56 ft
=22.6 ft (to the nearest 10th of a foot)