So, there's a Ferris wheel.
I have to find out the times when you are 65 feet off the ground within the first four minutes, with t being the time in minutes, with this equation:
I also had to solve it graphically, which was easy, so I know there are two points in time at which you are 65 feet off the ground(something like ~2.23 and ~3.77 minutes). What I'm having trouble with is solving it algebraically.
This is my thought process:
I'm pretty sure I'm doing this right.. but when I get to the last step, it gives me something like t = -.2324981381
I've plugged that in and it is obviously not the right answer. It gives me 65 as it should, but it doesn't correspond to the answers I get when solving graphically. Any help with what I'm doing wrong?
Something I figured out..
This number: t = -.2324981381
is significant to the answer somehow.. when finding the places where y = 65 on the graph, one of them is positive 2.2324981
edit: okay WOW, the t=-.232(...) is an answer in the second quadrant for x = -.232(...)
how do I find the other values of x?
I've been posting stuff on modelling temperatures lately, and I understand it now. I have a test coming up on Tuesday, and I need a little extra help with something.
I'm given a function, and I can set it equally to zero and solve it no problem. Then there is another zero that I need to find, and I'm having a hard time doing it. This has seemed to slip my mind.
Can anybody explain to me in a few steps how I can go beyond finding the first zero of a sinusoidal graph? Algebraically of course.
Say I have something like: and I need to find values of t where y = 65.
I can solve this by setting the equation equal to 65, but after this I get stuck. Any help please?