Answer:
x=60.9°
Step-by-step explanation:
Given that the height of ball from the ground is 150ft
The base of the pole with the ball is 80 ft from where Trey is standing
Trey's horizontal line of sight is 6 feet above ground, then;
The height of ball from Trey's horizontal line of sight is;
150ft-6ft = 144ft
To find the angle x, assume a triangle with a base of 80 ft , a height of 144 ft and a slant height that represent the line of sight at an angle x
To get angle x , you apply the tangent of an angle formula where;
tan Ф°= length of opposite site of the angle/length of the adjacent side of the angle
tan x°= 144/80
tan x°= 1.8
x°= tan⁻(1.8)
x°=60.9°
we are given

we can find x , y and z

now, we can use arc length formula

now, we can find derivative

now, we can plug values
and we get



...........Answer
Your answer is the first one q
The value of the f(-8) from the given f(x) is 1/53.
According to the statement
we have given that the value of f(x) and with the value of this we hav eto find the value of f(-8).
So, For this purpose,
The given value of f(x) :
The function f(x) is
f(x) = 1 / x^2 -11
Now we find the value of the f(-8) then
For this put Put x is -8 in the f(x) then the equation become
f(x) = 1 / x^2 -11
f(-8) = 1 / (-8)^2 -11
f(-8) = 1 / 64 -11
f(-8) = 1 / 53.
here the value becomes 1/53.
So, The value of the f(-8) from the given f(x) is 1/53.
Learn more about function f(x) here
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The total area of pyramid is 113.569 square units
The equation to find the total area of the pyramid is Total area = base area + lateral area.
<u>Solution:</u>
Given, A pyramid has a regular hexagonal base with side lengths of 4 and a slant height of 6.
<em><u>The total area of pyramid is given by:</u></em>
---- eqn 1
Where,

<em><u>The area of base is given as:</u></em>

Where "l" is the side of hexagon.
Substituting we get,

<em><u>The lateral area is given as:</u></em>

Where,
b: base of the triangle
h: height of the triangle
Substituting we get,

Plugging in the values we found in eqn 1 we get,

A = 113.569 square units
<em><u>Summarizing the results:</u></em>
The total area of pyramid is 113.569 square units approximately
The equation used to find total area of pyramid is Total area = base area + lateral area.