Answered

Hyun Woo is riding a ferris wheel. H(t) models his height (in m) above the ground, t seconds after the

ride starts. Here, t is entered in radians.

H(t) = -10 cos(2Pi/150 t)+10

When does Hyun Woo first reach a height of 16 m?

Answer :

xero099

Answer:

[tex]t \approx 52.8\,s[/tex]

Step-by-step explanation:

The following expression needs to be solved:

[tex]10\,m\cdot \left[1-\cos \left(\frac{2\pi\cdot t}{150} \right)\right] = 16\,m[/tex]

[tex]1 - \cos \left(\frac{2\pi\cdot t}{150} \right) = 1.6[/tex]

[tex]\cos \left(\frac{2\pi\cdot t}{150} \right) = -0.6[/tex]

[tex]\frac{2\pi\cdot t}{150} = \cos^{-1}(-0.6)[/tex]

[tex]\frac{2\pi\cdot t}{150} = 0.704\pi[/tex]

[tex]t \approx 52.8\,s[/tex]

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