ANSWER
23.6 feet
EXPLANATION
The given triangle is a right triangle.
The hypotenuse is 27 ft.
The given angle I s 29°
The unknown side x, is adjacent to the given angle.
We use the cosine ratio to get,
We multiply both sides by 27 to get;
to the nearest tenth.
First of all, a bit of theory: since the area of a square is given by
where s is the length of the square. So, if we invert this function we have
.
Moreover, the diagonal of a square cuts the square in two isosceles right triangles, whose legs are the sides, so the diagonal is the hypothenuse and it can be found by
So, the diagonal is the side length, multiplied by the square root of 2.
With that being said, your function could be something like this:
double diagonalFromArea(double area) {
double side = Math.sqrt(area);
double diagonal = side * Math.sqrt(2);
return diagonal;
}