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
<h3>The equation of the function</h3>
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
<h3>The time to reach 100 feet above the ground</h3>
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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Answer:
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