Hello from MrBillDoesMath!
Answer: x^2 - 6.5x + 10.5 = 0
Discussion:
If the roots are 3 and 3.5, then the quadratic equation is
(x -3 ) ( x - 3.5) = 0
or
x * (x - 3.5) - 3 (x - 3.5) = 0
or
X^2 - 3.5X - 3X + 3(3.5) = 0
or
x^2 - 6.5x + 10.5 = 0
Thank you,
MrB
Answer:30
Step-by-step explanation: the rest are not right lol
Answer:
B) 47.1°
Step-by-step explanation:
The tangent relation is useful here.
Tan = Opposite/Adjacent
The original height of the tree is the side of the triangle that is opposite the angle of elevation:
Opposite = Adjacent × Tan
original height = (25 ft)×tan(34°) ≈ 16.863 ft
__
After growing an additional 10 ft, the tree has a height of ...
16.863 ft + 10 ft = 26.863 ft
Then the angle of elevation is found from ...
tan(angle) = (26.863 ft)/(25 ft) ≈ 1.07451
angle of elevation = arctan(1.07451) ≈ 47.057°
The angle of elevation to the top of the tree is about 47.1°.