The distance to the top of the building above the range finder can be found from the Pythagorean theorem.
.. d = √(115² -89²) ≈ 72.8 . . . . feet
Adding the height of the range finder, we find the height of the building to be
.. h = d+3 = 75.8 ft
Answer:
The standard form of the equation for the conic section represented by 
is:
Step-by-step explanation:
We know that:
is the standard equation for an up-down facing Parabola with vertex at (h, k), and focal length |p|.
Given the equation
Rewriting the equation in the standard form
Thus,
The vertex (h, k) = (-5, 12)
Please also check the attached graph.
Therefore, the standard form of the equation for the conic section represented by is:
where
vertex (h, k) = (-5, 12)
Answer:
x = 20
Step-by-step explanation:
Since ΔACB ≅ ΔDCE then ∠A ≅ ∠D, that is
3x - 10 = 2x + 10 ( subtract 2x from both sides )
x - 10 = 10 ( add 10 to both sides )
x = 20
<1 and <2 are complementary : given
<1+<2=90 : definition of complementary
<1 congruent <3 : given
<2 congruent <4 : given
<3 congruent <4 : transitive property
X=2.5
subtract 5 from both sides and then divide 5 by 2.
