Question

The distance from the ground, in meters, of a person riding on a Ferris wheel after t seconds can be modeled by the function D(t)= 20 sin (t/10)+20. Based on the graph of the function that represents the rider's distance from the ground, how long will it take before the rider is at the lowest point on the Ferris wheel?5π seconds 10π seconds 15π seconds 20π seconds

Answer 1

Solution:

Given the modeled function;

$D(t)=20\sin(\frac{t}{10})+20$

The graph of the function is;

Thus, it would take;

$15\pi\text{ seconds}$

before the rider is at the lowest point on the Ferris wheel.