Question

AZ help

Answer 1

where? o;

Answer 2

What's the equation you've gotten so far

Answer 3

ig it would be 80(sin pi/9 t) +____

Answer 4

Good! So the last part

You know how sin goes up and down? And point A is at the center of the ferris wheel

but how high is the ferris wheel off the ground?

Answer 5

50 feet
sorry i went off

Answer 6

I'm talking about the height of x in this image

Answer 7

because we've already accounted for the radius of 40 through the amplitude

so our little Ferris wheel, when it goes round and round- it'll make a sin curve
but the height we're increasing by is that base of the thing that the Ferris wheel is standing upon

Answer 8

well it's not on that thing exactly

but I'm talking about the distance between where the ferris wheel ends and the ground is

Answer 9

oh, 10

Answer 10

ta-da

Answer 11

because remember, your sin curve goes up and down, but the only thing that hasn't been accounted for is that the 80 ft diameter of a ferris wheel is elevated by like 10 ft

Answer 12

\(\color{#0cbb34}{\text{Originally Posted by}}\) @AZ
ta-da
\(\color{#0cbb34}{\text{End of Quote}}\)
You are one of the smartest people I have ever met in my life

Answer 13

haha thank you :))

Answer 14

what does the 10 feet have to do with anything?

Answer 15

Lol you're welcome.

Answer 16

so it's 10 feet not 50 feet in our equation

Answer 17

so in the
A((B(x+C))+D
which is it?

Answer 18

wait

Answer 19

yes nvm I confused myself for a sec

it would be D

Answer 20

oh, the midline

Answer 21

so you have to remember, we set the point A as the beginning height

so that means when you're at the height point, you'll be 40 ft higher than point A

so if you see the graph of y = 80 sin (t*pi/9)

the amplitude is 80 so the heightest point is going to be 80

Answer 22

but the highest point on the Ferris wheel is, yes, 40 ft above point A but that doesn't account for the 10 feet difference

Answer 23

because the lowest point isn't 0 feet, it's 10 feet

Answer 24

oh, kay, got it, thanks

Answer 25

no problem!

Answer 26

and then for the second one, there would be 2 answers, right?
but how would i get 2

Answer 27

I was hoping you wouldn't ask

Answer 28

ummmmmmmm, why lolll

Answer 29

so pi/ 9 is when we're in radians, right?

So let's move to degrees so it's easier

Answer 30

2pi = 360

how many degrees is pi/9

Answer 31

20 degrees

Answer 32

good good so our equation is

y = 80 sin(20x) + 10

and we're looking for a height of 70 so

70 = 80 sin(20x) + 10

can you move the 10 and 80 over to the other side first?

Answer 33

60 = 80 sin(20x)
sin(20x) = 3/4

Answer 34

Wonderful!

so now let's just say 20x = a

so
sin(a) = 3/4

what is a = ?
remember we're in degrees now, not radians

Answer 35

idk?

Answer 36

nvmd google

Answer 37

Well you would have to use a calculator

arcsin (3/4) = a

a =

Answer 38

48.590378

Answer 39

and also
131.409622
altho, why/how?

Answer 40

well that's because sin is positive in the first two quadrants so we would have two angles that give us sin(angle) = 3/4

Answer 41

but that's correct!

Answer 42

so remember how we used a instead of 20x

now we have to solve for x

when a = 48.590378
then what is x?
(just divide by 20)

and when a = 131.409622
what is x?

Answer 43

x will be the time at which the height is 70 feet

Answer 44

about 2.4 seconds and 6.57 seconds

Answer 45

Just trying to explain why we have two angles

so you can see that sin is positive of both and so when we're at 48.590378 degrees, we'll get a triangle with 3/4
and on the other side it would be 48.590378 which would be 180 - 48.590378 to get you your 131 thing

Answer 46

but yes, well done!

Answer 47

thxxxxxxxxxxxx~

Answer 48

You're welcome!!