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This one may have been asked before, but it's relatively simple so let's give it a go:
A construction crew is trying to bring a ladder down a hallway that changes size at the corner. The initial hallway section is 3 metres wide, and the second hallway section is 5 metres wide (from the top view, the corner is a 3x5 metre rectangle). If the crew must carry the ladder horizontally under their arms, and the ladder is of negligible thickness, how long a ladder can the crew fit through the hallway?
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Originally posted by PBE6how tall is the ceiling?
This one may have been asked before, but it's relatively simple so let's give it a go:
A construction crew is trying to bring a ladder down a hallway that changes size at the corner. The initial hallway section is 3 metres wide, and the second hallway section is 5 metres wide (from the top view, the corner is a 3x5 metre square). If the crew must carry the ...[text shortened]... the ladder is of negligible thickness, how long a ladder can the crew fit through the hallway?
I don't know how to find the mid point of an ellipse....back to grade 8 math for me.
8 metres would be my best guess without having any formula to rely on.
Originally posted by PBE6What's a 3x5 metre square?
This one may have been asked before, but it's relatively simple so let's give it a go:
A construction crew is trying to bring a ladder down a hallway that changes size at the corner. The initial hallway section is 3 metres wide, and the second hallway section is 5 metres wide (from the top view, the corner is a 3x5 metre square). If the crew must carry the ...[text shortened]... the ladder is of negligible thickness, how long a ladder can the crew fit through the hallway?
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Originally posted by PBE6I would say we need to find the minimum of the following function over the interval X in [0, Pi/2]:
This one may have been asked before, but it's relatively simple so let's give it a go:
A construction crew is trying to bring a ladder down a hallway that changes size at the corner. The initial hallway section is 3 metres wide, and the second hallway section is 5 metres wide (from the top view, the corner is a 3x5 metre rectangle). If the crew must carry ...[text shortened]... the ladder is of negligible thickness, how long a ladder can the crew fit through the hallway?
f(X) = 3/SinX + 5/CosX
I get something like ~11.19 m. Does that sound about right?