PLEASE HELPPP WILL GIVE 20 POINTS PLEASE
A power outage occurs 6 min after the ride started. Passengers must wait for their cage to be manually
cranked into the lowest position in order to exit the ride. Sine function model:
Sine function model: h = -82.5 cos 3pi(t) + 97.5
where h is the height of the last passenger above the ground measured in feet and t is the time of operation of the ride in minutes.

A)What is the height of the last passenger at the moment of the power outage? Verify your answer by evaluating the sine function model.

(b) Will the last passenger to board the ride need to wait in order to exit the ride? Explain.

Question

contestada

Respuesta :

oeerivona oeerivona · Answer 1 · 2021-12-28T16:52:42+01:00

The model of the height the ride given by the sine function indicates that

the motion is periodical.

(d) At the time the power failure occur, the last passenger is at the lowest position and does not have to wait to exit the ride.

Reasons:

Time at which the power failure occur = 6 minutes after the ride started

The given sine function model for the height of the height of the last passenger above the ground is given by the formula;

h = -82.5·cos(3·π·(t)) + 97.5

Where;

h = The height of the last passenger above the ground in feet

t = The time of operation of the ride

Required:

Height of the last passenger the moment the power failure occurs.

Solution:

At t = 6 minutes, the height of the last passenger is given as follows;

h = -82.5·cos(3·π·(6)) + 97.5 = 15

Therefore;

At the time the power failure occurs, the height of the last passenger is 15 feet above the ground.

(b) The lowest position = h = -82.5·cos(3·π·(0)) + 97.5 = 15

Given that the height of the last passenger is 15 feet above the ground at

the time the time the power failure occurs, the last passenger is at the

lowest position and therefore, does not have to wait to exit the ride.

Learn more about the sine function models here:

https://brainly.com/question/14281573