MHB Trigonometry and periodic functions

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The Singapore Flyer completes a rotation every 32 minutes, starting from the 6 o'clock position. After 24 minutes, the person riding the wheel reaches the 3 o'clock position. At this point, the height of the person above the ground is calculated to be 90 meters, considering the total height of the Flyer is 165 meters. The calculations confirm that after 24 minutes, the person is at a height of 75 meters on the wheel itself. This discussion highlights the relationship between time, position, and height in trigonometric terms.
mak23
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!HELP!

The Singapore Flyer, until recently the world's largest Ferris wheel, completes one rotation every 32 minutes.1 Measuring 150 m in diameter, the Flyer is set atop a terminal building, with a total height of 165 m from the ground to the top of the wheel. When viewed from Marina Centre, it turns in the clockwise direction. State the o'clock position on the wheel and height above the ground of a person who has ridden the wheel for 24 minutes. Assume that the person boarded the wheel at the 6 o'clock position.i don't know how to do this problem.please help!and thanks in advance.
 
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mak23 said:
!HELP!

The Singapore Flyer, until recently the world's largest Ferris wheel, completes one rotation every 32 minutes.1 Measuring 150 m in diameter, the Flyer is set atop a terminal building, with a total height of 165 m from the ground to the top of the wheel. When viewed from Marina Centre, it turns in the clockwise direction. State the o'clock position on the wheel and height above the ground of a person who has ridden the wheel for 24 minutes. Assume that the person boarded the wheel at the 6 o'clock position.i don't know how to do this problem.please help!and thanks in advance.

Hi mak23! Welcome to MHB! ;)

Let's see... it starts at the bottom position (6 o'clock), and makes a full turn in 32 minutes.
That means it's at the top after 16 minutes isn't it?
And that's at 165 m from the ground.
How high would it be anyway at the starting position?
We should be able to tell, shouldn't we? Since it's given that the wheel is 150 m in diameter.

It also means that after 8 minutes, it's at a quarter of its turn.
And at 24 minutes, it's at three quarters of its turn, which is what the problem is about.
Can we tell how high that would be?
 
Thank you for the help!

I understand now.

so after 24 minutes the person should be at the 3'o clock position. And the person would be at a height of 75 m.

ahaa... since its on a building of 165 m, the person would be 165-75=90 m.Right?
 
Yep. (Nod)
 

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