The length of the shadow on flat ground of a man who is 6 feet tall and is standing up straight is 8 feet. the distance between the top of his head and the top of his head in the shadow is feet.

Use pythagorean triple 3,4,5 and get that the answer is 10 feet

The answer is 10 ft.  make a triangle 6ft tall, 8ft long (90 degrees to the other line) and draw a line to complete the triangle.  This is a type of 3,4,5 triangle, a 6,8,10.  The other way to do it is sqrt(6^2+8^2) = sqrt(36+64) = sqrt (100) = 10.

Step-by-step explanation:

+ 6x + 9} =\frac{4(x^{4} - 9x^{2} - 9x^{2} + 81) - (x^{2} + 3x + 3x + 9)}{x^{2} + 6x + 9} =\frac{4(x^{4} - 18x^{2} + 81) - (x^{2} + 6x + 9)}{x^{2} + 6x + 9} = \frac{4x^{4} - 72x^{2} + 324 - (x^{2} + 6x + 9)}{x^{2} + 6x + 9} =\frac{4x^{4} - 72x^{2} - x^{2} + 6x + 324 + 9}{x^{2} + 6x + 9} =\frac{4x^{4} - 73x^{2} + 6x + 333}{x^{2} + 6x + 9} = 4x^{2} - 24x + 35 + \frac{12x + 18}{x^{2} + 6x + 9}[/tex]