Question

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Answer 1

The equation of the function is y = 60sin(1/15t) + 70 and it will take 92.45 unit of time to reach 100 feet above the ground

The equation of the function

The given parameters are:

• Amplitude, A = 60 (amplitude is always positive)
• Vertical shift, D = 70
• Horizontal shift, C = 0
• Period, T = π/30

The function is represented as:

y = Asin(Bt + C) + D

Where:

B = 2π/T

So, we have:

B = 2π/π/30

Evaluate

B = 1/15

The equation becomes

y = 60sin(1/15t + 0) + 70

This gives

y = 60sin(1/15t) + 70

The time to reach 100 feet above the ground

This means that:

t = 100

So, we have:

y = 60sin(1/15* 100) + 70

Evaluate

y = 92.45

Hence, it will take 92.45 unit of time to reach 100 feet above the ground

Read more about sine functions at:

brainly.com/question/10700288

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