The height, h, in meters, above the ground of a rider on a Ferris wheel, can be modeled by the equation h = 10 sin(3.14/15x)+ 12, where t is the time, in seconds
To find the height of a rider on a Ferris wheel at a given time, you can use the equation h = 10 sin(3.14/15x) + 12, where t represents the time in seconds.
Here's how you can use this equation to find the height of the rider:
1. Start by determining the value of x. In this equation, x represents the time in seconds. So if you have a specific time, substitute it into the equation for x.
2. Calculate 3.14/15x. Multiply the time value by 3.14/15.
3. Take the sine of the result obtained in step 2. Use a calculator to find the sine of 3.14/15x.
4. Multiply the result obtained in step 3 by 10. This gives you the amplitude of the sine wave. In this case, it represents the variation in height.
5. Add 12 to the result obtained in step 4. This represents the baseline height.
The final result will be the height of the rider above the ground at the given time.
Remember to use the same units of measurement consistently throughout (meters in this case) to get the correct answer.
I hope this explanation helps! Let me know if you have any further questions.