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Answer :
The length of the arc through which the tip of the pendulum swings is approximately 16.11 inches.
To find the length of the arc, we can use the formula for the arc length of a circle sector.
The formula is given as L = rθ, where L is the length of the arc, r is the radius of the circle, and θ is the central angle in radians. In this case, the radius of the circle is equal to the length of the pendulum, which is 59 inches.
We need to convert the angle from degrees to radians by multiplying it by π/180. Thus, the length of the arc is L = 59 inches × (16° × π/180) ≈ 16.11 inches (rounded to the nearest hundredth).
Therefore, the tip of the pendulum swings through an arc length of approximately 16.11 inches.
Learn more about pendulum here: brainly.com/question/29268528
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