Determine the length of x and y. Round your answer to the nearest tenth, if necessary.
2 answers:
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Answer:
The height of the pole is 105ft,
Step-by-step explanation:
Let us call the height of the pole, then we know that the distance from the bottom of the pole to the anchor point is 49, or it is
.
The wire length is 14 ft longer than height
, hence
.
Thus we get a right triangle with hypotenuse , perpendicular
, and base
; therefore, the Pythagorean theorem gives
which upon expanding we get:
further simplification gives
,
which is a quadratic equation with solutions
Since the first solution will give the triangle base length of
which is negative; therefore, we disregard it and pick the solution
.
Hence, the height of the pole is 105ft.
Answer option A
From the given graph is a Vertical ellipse
Center of ellipse = (-2,-3)
Vertices are (-2,3) and (-2,-9)
Co vertices are (-6,-3) and (2,-3)
The distance between center and vertices = 6, so a= 6
The distance between center and covertices = 4 , so b= 4
The general equation of vertical ellipse is
(h,k) is the center
we know center is (-2,-3)
h= -2, k = -3 , a= 6 and b = 4
The standard equation becomes
Foci are (h,k+c) and (h,k-c)
Plug in the a=6 and b=4
, we know h=-2 and k=-3
Foci are and
Option A is correct