Question

Can someone help me with a trig question??

Answer 1

@midhun.madhu1987 ?

Answer 2

You should post the question first....

Answer 3

Travis is riding the Ferris wheel at the amusement park. His height can be modeled by the equation H(t) = 22 cospi over 13 times t + 28, where H represents the height of the person above the ground in feet at t seconds.

Part 1: How far above the ground is Travis before the ride begins?
Part 2: How long does the Ferris wheel take to make one complete revolution?
Part 3: Assuming Travis begins the ride at the top, how far from the ground is the edge of the Ferris wheel, when Travis' height above the ground reaches a minimum?

Answer 4

\[H(t) = 22\cos(\frac{\pi}{13}t) + 28\]

Answer 5

yes

Answer 6

i think there might be a mistake in the question, but when \(t=0\) you get
\[H(0)=22\cos(0)+28=22+28=50\]

Answer 7

Okay

Answer 8

Part 2: How long does the Ferris wheel take to make one complete revolution?
they are asking for the period
the period is \[\frac{2\pi}{b}\] which in this case is
\[\frac{2\pi}{\frac{\pi}{13}}=26\]

Answer 9

Part 3: Assuming Travis begins the ride at the top, how far from the ground is the edge of the Ferris wheel, when Travis' height above the ground reaches a minimum?

this questions makes no sense to me, but the minimum value of cosine is -1, so the minimum value of \[H(t) = 22\cos(\frac{\pi}{13}t) + 28\] is
\[-22+28=6\]

Answer 10

Yeah, it makes no sense to me either.