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Import favorites MVNU Students Ho... A ALEKS - Jameson C... Trigonome tric Graphs Word problem involving a sine or cosine function: Problem type 2 3//5 Jameson Español A person sitting on a Ferris wheel rises and falls as the wheel turns. Suppose that the person's height above ground is described by the following function. h(t)=18.6+15.4 cos 1.3 t In this equation, h(t) is the height above ground in meters, and t is the time in minutes. Find the following. If necessary, round to the nearest hundredth. Frequency of h : ◻ revolutions per minute Maximum height above the ground: ◻ meters Time for one complete revolution: ◻ minutes Explanation Check (C) 2024 McGraw Hill LLC. All Rights Reserved. Terms of Use Privacy Center Accessibility Type here to search

Import favorites\newlineMVNU Students Ho...\newlineA\newlineALEKS - Jameson C...\newlineTrigonome tric Graphs\newlineWord problem involving a sine or cosine function: Problem type 22\newline3/5 3 / 5 \newlineJameson\newlineEspañol\newlineA person sitting on a Ferris wheel rises and falls as the wheel turns. Suppose that the person's height above ground is described by the following function.\newlineh(t)=18.6+15.4cos⁡1.3t h(t)=18.6+15.4 \cos 1.3 t \newlineIn this equation, h(t) h(t) is the height above ground in meters, and t t is the time in minutes.\newlineFind the following. If necessary, round to the nearest hundredth.\newlineFrequency of h h : □ \square revolutions per minute\newlineMaximum height above the ground: □ \square meters\newlineTime for one complete revolution: □ \square minutes\newlineExplanation\newlineCheck\newline(C) 20242024 McGraw Hill LLC. All Rights Reserved. Terms of Use\newlinePrivacy Center\newlineAccessibility\newlineType here to search

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Q. Import favorites\newlineMVNU Students Ho...\newlineA\newlineALEKS - Jameson C...\newlineTrigonome tric Graphs\newlineWord problem involving a sine or cosine function: Problem type 22\newline3/5 3 / 5 \newlineJameson\newlineEspañol\newlineA person sitting on a Ferris wheel rises and falls as the wheel turns. Suppose that the person's height above ground is described by the following function.\newlineh(t)=18.6+15.4cos⁡1.3t h(t)=18.6+15.4 \cos 1.3 t \newlineIn this equation, h(t) h(t) is the height above ground in meters, and t t is the time in minutes.\newlineFind the following. If necessary, round to the nearest hundredth.\newlineFrequency of h h : □ \square revolutions per minute\newlineMaximum height above the ground: □ \square meters\newlineTime for one complete revolution: □ \square minutes\newlineExplanation\newlineCheck\newline(C) 20242024 McGraw Hill LLC. All Rights Reserved. Terms of Use\newlinePrivacy Center\newlineAccessibility\newlineType here to search
  1. Find Frequency: To find the frequency, we need to look at the coefficient of tt in the cosine function, which is 1.31.3. This represents the angular frequency in radians per minute. The frequency in revolutions per minute is found by dividing the angular frequency by 2π2\pi.\newlineFrequency = 1.32π\frac{1.3}{2\pi}
  2. Calculate Frequency: Now, let's calculate the frequency.\newlineFrequency ≈1.3(2×3.14159)\approx \frac{1.3}{(2 \times 3.14159)}\newlineFrequency ≈0.207\approx 0.207
  3. Find Maximum Height: The maximum height above the ground occurs when the cosine function is at its maximum value, which is 11. So, we add the maximum value of the cosine function to the constant term in the function.\newlineMaximum height = 18.6+15.4×118.6 + 15.4 \times 1\newlineMaximum height = 18.6+15.418.6 + 15.4
  4. Calculate Maximum Height: Let's calculate the maximum height.\newlineMaximum height = 18.6+15.418.6 + 15.4\newlineMaximum height = 3434 meters
  5. Find Time for One Revolution: To find the time for one complete revolution, we need to find the period of the cosine function. The period TT is the reciprocal of the frequency.T=1FrequencyT = \frac{1}{\text{Frequency}}
  6. Calculate Time for One Revolution: Now, let's calculate the time for one complete revolution. \newlineT=10.207T = \frac{1}{0.207}\newlineT≈4.83T \approx 4.83 minutes

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