Answer: the first option is the correct answer.
Step-by-step explanation:
Triangle ABC is a right angle triangle.
From the given right angle triangle,
AB represents the hypotenuse of the right angle triangle.
With m∠A as the reference angle,
AC represents the adjacent side of the right angle triangle.
BC represents the opposite side of the right angle triangle.
To determine the tangent of angle A, we would apply the Tangent trigonometric ratio. It is expressed as
Tan θ, = opposite side/adjacent side. Therefore,
Tan A = 5/5√3 = 1/√3
Rationalizing the surd, it becomes
1/√3 × √3/√3
Tan A = √3/3
The slope of the tangent line to 
at 
is given by the derivative of at that point:
Factorize the numerator:
We have 
approaching -1; in particular, this means 
, so that
Then
and the tangent line's equation is
Square root (x + 8) -6 = x
square root (x + 8) = x -6
x^2 + 16x + 64 = x^2 -12x + 36
28x = 48
x =
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1.7142857143
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None of the above
