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It’s simple but my teacher has “33 ft” as an answer and Idk why...

It’s simple but my teacher has “33 ft” as an answer and Idk why...-example-1
User Nrudnyk
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1 Answer

5 votes

Answer:

33 ft

Explanation:

The distance of interest is apparently not the straight-line distance from the top of the vertical ladder to the ground (20 ft), but the length of the arc the top of the ladder makes as it rotates. That arc length (s) is given by ...

s = r·θ . . . . . where θ is the angle in radians subtended by the arc

Here, the radius is 20 ft, and the angle is the supplement of 85°, or 95° = (95/180)π radians.

s ≈ (20 ft)·(1.65806 radians) ≈ 33.16 ft ≈ 33 ft

It’s simple but my teacher has “33 ft” as an answer and Idk why...-example-1
User JJJohn
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