# word problem Trigonometry

• Apr 8th 2009, 12:18 PM
jepal
word problem Trigonometry
Hello, me again! and I need ur help!

In summary octupus ride
one revolution=60 seconds
max 4m above ground
min 1 m above ground
h in metres above ground can be modelled by
h=asin (kt) +c where t=time in seconds

question?

what is the desired period of the fxn?
my answer: I just assumed its 60 seconds? am I right

Determin the value of K that results in the period desired

so for amplitude I got 3/2 and vertical translation 5/2

therefore:

h=3/2 sink (60) +5/2

im stuck. I have have no idea how to solve for K, since there is two varialble. any hints is appreciated!
• Apr 8th 2009, 02:15 PM
skeeter
Quote:

Originally Posted by jepal
Hello, me again! and I need ur help!

In summary octupus ride
one revolution=60 seconds
max 4m above ground
min 1 m above ground
h in metres above ground can be modelled by
h=asin (kt) +c where t=time in seconds

question?

what is the desired period of the fxn?
my answer: I just assumed its 60 seconds? am I right

Determin the value of K that results in the period desired

so for amplitude I got 3/2 and vertical translation 5/2

therefore:

h=3/2 sink (60) +5/2

im stuck. I have have no idea how to solve for K, since there is two varialble. any hints is appreciated!

$\displaystyle k = \frac{2\pi}{T}$ , where $\displaystyle T$ is the period