SOLUTION: A bungee jumper plummets from a high bridge to the river below and then bounces back over and over again. At time t seconds after her jump, her height H (in meters) above the river

Algebra ->  Trigonometry-basics -> SOLUTION: A bungee jumper plummets from a high bridge to the river below and then bounces back over and over again. At time t seconds after her jump, her height H (in meters) above the river      Log On


   

Question 1176257: A bungee jumper plummets from a high bridge to the river below and then bounces back over and over again. At time t seconds after her jump, her height H (in meters) above the river is given by
H(t) = 120+55e^(-t/30)*cos(t*pi/4)
Find her height at t= 4 t=8 t=12
Found 3 solutions by greenestamps, ewatrrr, MathLover1:
Answer by greenestamps(13203) About Me  (Show Source):
You can put this solution on YOUR website!


Our purpose at this forum is to help you learn how to solve math problems -- not to do your work for you.

Use a calculator to evaluate the given expression for the given values of t.

Or graph the function on a graphing calculator and use the graph or table functions of the calculator to find the values of the function at those values of t.

Answer by ewatrrr(24785) About Me  (Show Source):
You can put this solution on YOUR website!

Hi
H%28t%29+=+120%2B55e%5E%28-t%2F30%29%2Acos%28t%2Api%2F4%29
Using FREE graph software  https://www.padowan.dk/download/ 
  H(4) = 57.1553
  H(8) = 191.8083
  H(12) = 37.9496 
Wish You the Best in your Studies.


Answer by MathLover1(20850) About Me  (Show Source):
You can put this solution on YOUR website!
H%28t%29+=+120%2B55e%5E%28-t%2F30%29%2Acos%28t%2Api%2F4%29
Find her height at
t=+4+

H%284%29+=+120%2B55e%5E%28-4%2F30%29%2Acos%284%2Api%2F4%29%29
H%284%29+=+120%2B55e%5E%28-2%2F15%29%2Acos%28pi%29 ........cos%28pi%29=-1
H%284%29+=+120%2B55e%5E%28-2%2F15%29%2A%28-1%29+
H%284%29+=+120-55e%5E%28-2%2F15%29
H%284%29+=+120-48.1345326
H%284%29+=+71.87

t=8+
H%288%29+=+120%2B55e%5E%28-8%2F30%29%2Acos%288%2Api%2F4%29
H%288%29+=+120%2B55e%5E%28-4%2F15%29%2Acos%282%2Api%29............cos%282%2Api%29=1
H%288%29+=+120%2B55e%5E%28-4%2F15%29%2A1
H%288%29+=+120%2B42.12605861
H%288%29+=+162.13

t=12
H%2812%29+=+120%2B55e%5E%28-12%2F30%29%2Acos%2812%2Api%2F4%29
H%2812%29+=+120%2B55e%5E%28-2%2F5%29%2Acos%283%2Api%29............cos%283%2Api%29=-1
H%2812%29+=+120%2B55e%5E%28-2%2F5%29%2A%28-1%29
H%2812%29+=+120-36.86760253
H%2812%29+=+83.13