Draw a right triangle to represent the problem.
The vertical height of the triangle is 9 ft, and it represents the tree.
The horizontal length, at the bottom of the tree is ground level and has a length of 13 ft.
Let x = angle of elevation.
By definition,
tan x = 9/13 = 0.6923
x = arctan(0.6923) = 34.7 deg. = 35 deg (approx)
Answer: 35°
2 to the power of 6 or 4 to the power of 3
V=lw*h/3
So since its a square l and w are the same
11*11 = 121
h=20
20/3= 6.6666666
V=121*6.6666666
V= 806.66667
Answer: 50 degrees
You cut the arc measure 100 degrees in half. This is using the inscribed angle theorem. The angle 'a' is the inscribed angle that cuts off this 100 degree arc.
Given a quadratic equation
, we define the discriminant as

The number of real solutions of the equation depend on the sign of
:
- If
the equation has two solutions - If
the equation has one double solution - If
the equation has no real solutions
In this case, we have

And so this equation has no real solutions.