They aren't similar because they're not proportional (the sides do not form equal ratios)<span />
Answer: 61.16 ft
Step-by-step explanation:
We can think in this situation as a triangle rectangle.
where:
The height of the tree is one cathetus
The shadow of the tree is the other cathetus.
We know that the angle of elevation of the sun is 78°, an angle of elevation is measured from the ground, then the adjacent cathetus to this angle is the shadow of the tree. And the opposite cathetus will be the height of the tree.
Now we can remember the relationship:
Tg(A) = (opposite cathetus)/(adjacent cathetus)
Where:
A = 78°
Adjacent cathetus = 13ft
opposite cathetus = height of the tree = H
Then we have the equation:
Tg(78°) = H/13ft
Tg(78°)*13ft = H = 61.16 ft
Answer:
3x - 2.
Step-by-step explanation:
The length = area / width.
The area 3x^2 + 7x - 6 = (3x - 2 )(x + 3)
so the length = (3x - 2 )(x + 3 ) / x + 3
= 3x - 2.
Answer:
Step-by-step explanation:Simplifying
2a + 6b = 100
Solving
2a + 6b = 100
Solving for variable 'a'.
Move all terms containing a to the left, all other terms to the right.
Add '-6b' to each side of the equation.
2a + 6b + -6b = 100 + -6b
Combine like terms: 6b + -6b = 0
2a + 0 = 100 + -6b
2a = 100 + -6b
Divide each side by '2'.
a = 50 + -3b
Simplifying
a = 50 + -3b
