1. **Problem Statement:** We analyze the displacement of the CN Tower's top during sway, modeled by a sinusoidal curve. 2. **Identify the period, amplitude, and axis of the curve:** - The **period** is the time for one full cycle of sway, given as 60 seconds. - The **amplitude** is the maximum displacement from the center line, given as 0.8 meters. - The **axis** (midline) is the horizontal line about which the tower sways, here at $y=0$ meters. 3. **Interpretation in context:** - The **period (60 s)** means the tower takes 60 seconds to sway out and back to its original position. - The **amplitude (0.8 m)** means the tower's top moves up to 0.8 meters away from the normal position. - The **axis (0 m)** represents the tower's normal, upright position. 4. **How wide is the sway?** - The sway width is twice the amplitude, so $$\text{width} = 2 \times 0.8 = 1.6\text{ meters}.$$ This is the total distance the top moves from one extreme side to the other during sway. **Final answers:** - Period: 60 seconds - Amplitude: 0.8 meters - Axis: 0 meters - Width of sway: 1.6 meters