<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>
Answer:
t=1
Step-by-step explanation:
16-2t = t + 9 + 4t
Combine like terms
16-2t = 9 + 5t
Add 2t to each side
16 -2t+2t = 9+5t+2t
16 = 9+7t
Subtract 9 from each side
16-9 = 9-9 +7t
7=7t
Divide each side by 7
7/7 = 7t/7
1 =t
Answer:
the two integers are -2, and -1
Step-by-step explanation:
first you can create an equation, with x being your small number and x+1 being your larger number because they are consecutive, then you can solve, 6(2x+1)+13=5(x+1)
12x+6+13=5x+5
12x+19=5x+5
12x-5x=5-19
7x=-14
x=-2
Answer:
What type of question is this
Answer:
The answer would be 216.
Step-by-step explanation:
9*12=108
108*2=216
the window and door in the walls are there to try and confuse you
