<span>Let the height of tree be denoted as AB and the shadow cast by the tree be BE. ABE is the triangle formed the tree, rays and the ground. Let the height of the person be CD and the length of his shadow be DE. CDE is the triangle formed by the person, rays and the ground.
We have two triangles. Both the person and the tree stand vertically over the horizontal ground, therefore they make 90 degrees with the ground. The angle formed at the ground is the same for the both the triangles. Therefore, by AA similarity the two triangles are similar.
We know that if two triangles are similar, then their sides are proportional.
Therefore,
AB/CD =BE/DE
AB/6 = 143/11
AB= (143/11) *6
AB = 78 ft.</span>
PEMDAS
5(7+23)
5(30)
150
Hope this helped :)
Because you can just simplify to have 1-2 terms only. Eg:
13+2y+4y (this is a trinomial as it has 3 terms) can be simplified to just give 13+6y
Answer:
(x-7) (x-8)
Step-by-step explanation:
Break the expression into groups:
= x(x-7) -8(x-7)
Factor out x from:
x^2-7x x(x-7)
Factor out -8 from -8x+56:
-8(x-7)
=x\left(x-7\right)-8\left(x-7\right)
Attached is how to do it.
The main idea of these is to figure out what “shapes” that you are either adding or subtracting.
