By using what we know about right triangles, we conclude that the height is 11ft.
<h3>
How far is the top of the escalator from the ground floor? </h3>
We can think of this as a right triangle.
Where the length of the escalator is the hypotenuse
We know that the angle of depression is 42.51°, then the top angle of our right triangle is:
90° - 42.51° = 47.49°
Now, the height of the top of the escalator would be the adjacent cathetus to said angle, then we can use the relation:
cos(a) = (adjacent cathetus)/(hypotenuse)
Replacing what we know:
cos(47.49°) = height/16ft
cos(47.49°) *16ft = height = 10.8ft
Rounding to the nearest foot, we get:
height = 11ft
If you want to learn more about right triangles:
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Answer:
L'(3, -6)
Step-by-step explanation:
The reflection over the y-axis is modeled by the transformation ...
(x, y) ⇒ (-x, y)
L(-3, -6) ⇒ L'(3, -6)
Point L is located at (3, -6) after the reflection from the 3rd quadrant to the 4th quadrant across the y-axis.
Directrix y = 8
It is a horizontal line so the parabola is vertical.
<span>The focus (2, 4) lies below the directrix,
Therefore parabola opens downwards. </span>
<span>vertex will be halfway between focus and directrix, at (2, 6) </span>
<span>focal length =p
= distance between focus and vertex
= 2 </span>
<span>y = (-1/(4p))(x - 2)² + 6 </span>
<span>y = (-1/8)(x - 2)² + 6
hope this helps</span>
It is less normally distributed because there are less data points falling within the true mean.
Answer:
x=11
Step-by-step explanation:
supplementary angles add up to 180 degrees
10x + 70 =180
10x = 110
x=11
11x10 = 110
110+70 = 180
