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Sagot :
Answer:
B) 133.45 ft
Step-by-step explanation:
The arc the handler makes from the starting point to the return point is a quarter of a circle.
The length of the arc of a quarter circle is equivalent to one quarter of the circle's circumference.
The formula for the circumference of a circle with radius r is C = 2πr. Therefore, the formula for the arc of a quarter circle (s) is:
[tex]s=\dfrac{2\pi r}{4}=\dfrac{\pi r}{2}[/tex]
To find the length of the arc, substitute the radius r = 85 ft into the formula and use π = 3.14:
[tex]s=\dfrac{3.14 \cdot 85}{2} \\\\\\ s=\dfrac{266.9}{2} \\\\\\ s=133.45\; \sf ft[/tex]
Therefore, the distance the handler will move is:
[tex]\LARGE\boxed{\sf 133.45 \; ft}[/tex]
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