Scott is sitting in a movie theater, 21 meters from the screen. The angle of elevation from his line of sight to the top of the screen is 17 degrees , and the angle of depression from his line of sight to the bottom of the screen is 38 degrees . Find the height of the entire screen.

23 m

Step-by-step explanation:

The computation of the height of the entire screen is shown below;

= a + b

where

a = 21 × tan 17 degrees

= 21 × 0.305

= 6.4 m

And

b = 21 × tan 38 degree

= 21 × 0.781

= 16.4 m

So, the height of the entire screen is

= 6.4 m + 16.4 m

= 22.8 m

= 23 m

g

step-by-step explanation:

g(x) = 3*(8(3^(x−2))+2)

g(x) = 24 (3^(x-2) )+6

the factor is 2

step-by-step explanation:

let f(x)=8(3^(x−2)+2)

to stretch a graph by 3, it would be 3f(x)

g(x) =3f(x)

g(x) = 3*(8(3^(x−2))+2)

g(x) = 24 (3^(x-2) )+6

x     −2     0     2     4     6

f(x) 1/64 1/16   1/4     1     4

1/64 * z * z = 1/16

i multiplies by z twice because it its 2 steps from -2 to 0

1/64 z^2 = 1/16

multiply by 64 to clear the fraction on the left side

1/4 * 64 z^2 =1/16 *64

z^2 = 4

take the square root of each side

sqrt(z^2) = ±sqrt(4)

z = ±2  

we are multiplying by 2 each time.