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anonymous
 one year ago
Please help. I have no idea what to do with this trig problem.
~~~
Sandra is riding the Ferris wheel, and her height can be modeled by the equation H(t) = 25 cos(pi/14 * t) + 31, where H represents the height of the person above the ground in feet at t seconds.
Part 1: How far above the ground is Sandra before the ride begins?
Part 2: How long does the Ferris wheel take to make one complete revolution?
Part 3: Assuming Sandra begins the ride at the top, how far from the ground is the edge of the Ferris wheel when Sandra's height above the ground reaches a minimum?
anonymous
 one year ago
Please help. I have no idea what to do with this trig problem. ~~~ Sandra is riding the Ferris wheel, and her height can be modeled by the equation H(t) = 25 cos(pi/14 * t) + 31, where H represents the height of the person above the ground in feet at t seconds. Part 1: How far above the ground is Sandra before the ride begins? Part 2: How long does the Ferris wheel take to make one complete revolution? Part 3: Assuming Sandra begins the ride at the top, how far from the ground is the edge of the Ferris wheel when Sandra's height above the ground reaches a minimum?

This Question is Closed

amistre64
 one year ago
Best ResponseYou've already chosen the best response.2what is the value when t=0?

amistre64
 one year ago
Best ResponseYou've already chosen the best response.2cos has a normal period of 2pi so when does pi/14 * t = 2pi?

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0I know that a full revolution around the unit circle is equal to 2pi

amistre64
 one year ago
Best ResponseYou've already chosen the best response.2then cos(2pi) is one complete revolution therefore, we simply need to determine when pi/14*t = 2pi

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0How would I find that, though?

amistre64
 one year ago
Best ResponseYou've already chosen the best response.2multiply both sides by .... what?

amistre64
 one year ago
Best ResponseYou've already chosen the best response.2well, 14/pi would wipe out the pi/14 so ... lets say t = 2pi * 14/pi makes one full revolution

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0Okay, I understand. What do I do from there?

amistre64
 one year ago
Best ResponseYou've already chosen the best response.2simplify .. what is 2pi * 14/pi?

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0Would pi cancel out?

amistre64
 one year ago
Best ResponseYou've already chosen the best response.2yes, even tho thats a bad word to apply ... pi/pi = 1, so there is nothing to actually 'cancel'. but yeah

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0Alright, so when pi/pi = 1, that leaves 2 *14 = 28

amistre64
 one year ago
Best ResponseYou've already chosen the best response.2correct, so it takes a time period of 28 to make one full revolution right?

amistre64
 one year ago
Best ResponseYou've already chosen the best response.2so part 2 is done, what was part 1?

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0Using the equation, I substituted 0 in for the value of t, since the ride has not started yet. The new equation will then look like, H(0) = 25 cos(pi/14 * t) + 31. Simplifying, the height of Sandra when t = 0 is 56 feet

amistre64
 one year ago
Best ResponseYou've already chosen the best response.225+31 = 56 .. i agree now what do you know about the min and max of a cos(u) ?

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0I don't know anything about that

amistre64
 one year ago
Best ResponseYou've already chosen the best response.2really? you have unit circle right?

amistre64
 one year ago
Best ResponseYou've already chosen the best response.2or at least are able to graph y = cos(x)

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0Yes, but I'm not technically in trig. I'm actually in Algebra 2. This is just an intro to trig, I guess

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0I'm not great at graphing either

amistre64
 one year ago
Best ResponseYou've already chosen the best response.2well, the unit circle, tells us cosine from left to right ... dw:1442188466506:dw unit is another way of saying 1, the unit circle has a radius of 1

amistre64
 one year ago
Best ResponseYou've already chosen the best response.2cos alternates from 1 to 1 to 1 to 1 ... etc so its max is 1, its min is 1 how can we use this in part3?

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0I'm so sorry, but I have absolutely no clue

amistre64
 one year ago
Best ResponseYou've already chosen the best response.2hmm, cos(pi/14*t) has a minimum value of 1. so use it 25(min of cos) + 31 gives us?

amistre64
 one year ago
Best ResponseYou've already chosen the best response.225(1) + 31 is 6 yes

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0Thanks for your help!
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