Answer:
Step-by-step explanation:
The equation of the curve is
To find the equation of tangent we need to differentiate this equation w.r.t x
So, differentiating we get
This would give the slope of the tangent line at any given point of which x coordinate is known. In the present case it is
Then slope would accordingly be
= ∞
For, ,
Equation of tangent line, in the point slope form, would be
Answer: Height at which the wire is attached to the pole is 12 feet.
Explanation:
Since we have given that
Length of the wire = 20 feet
Let the height at which wire is attached to the pole be h
and distance along the ground from the bottom of the pole to the end of the wire be x+4
Now, it forms a right angle triangle so, we can apply "Pythagorus theorem".
But height cant be negative so, height will be 12 feet.
Hence, height at which the wire is attached to the pole is 12 feet.
