a parabolic lamp is facing due east. The bulb (located at the focus) is 8 inches away from the vertex (located at the origin). t
1 answer:
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Answer:
3 1/8 inches
Step-by-step explanation:
For focus-vertex distance p, the equation of the parabola can be written ...
y = x^2/(4p)
Here, we have p=8. We want to find the value of y when x=10 (the radius of the dish). That is ...
y = (10^2)/(4·8) = 100/32 = 3 1/8
The dish is 3 1/8 inches deep.
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Answer:
The distance between the light and the actor's face is 29.24 ft
Step-by-step explanation:
In the attached photo, you can see where the hypotenuse, the opposite side, and and adjacent side are located from the given angle measurement which is 70°. Our known side length is 10 ft which is our adjacent side and our variable is the hypotenuse. So, we will use <u>cos</u>.
Let's plug in our numbers and variable.
Since our hypotenuse is a variable, we are going to flip the equation so we can find the value of the hypotenuse which is also our variable.
Divide 10 by (cos)70.
<em>x = 29.24</em>
So, the hypotenuse is 29.24 feet which shows the distance between the light and the actor's face.
