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Home » Let \( t \) be the total years until the cliff erodes completely. - go-checkin.com

Let \( t \) be the total years until the cliff erodes completely. - go-checkin.com

📅 March 1, 2026 👤 scraface

Mar 01, 2026

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📌 Trigonometry – Wind Turbine Blade Angle

📌 A wind turbine blade makes a 35° angle with the horizontal. If the blade length is 20 m, find the vertical height from base to tip.

📌 \sin(35^\circ) = \frac{\text{opposite}}{20} \Rightarrow \text{height} = 20 \cdot \sin(35^\circ) \approx 20 \cdot 0.5736 = 11.472

📌 Answer:** \(\boxed{11.47}\) meters

📌 Functions – Energy Consumption Model

📌 The power usage \(P(t)\) of a school’s EV charging stations is modeled by:

📌 P(t) = 4t^2 - 16t + 20, \quad 0 \leq t \leq 6 \text{ hours}

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The integers are 6 and 7, or -7 and -6.
#### 6, 7 or -7, -6
Here, \( a = 5 \), \( b = 12 \).
So, \( 5^2 + 12^2 = c^2 \).
This is \( 25 + 144 = c^2 \).
Thus, \( c^2 = 169 \).
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