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Question
In a shopping mall there is a hall of cuboid shape with dimension 800 × 800 × 720 units, which needs to be added the facility of an escalator in the path as shown by the dotted line in the figure. Find the slopes of the escalator at the turning points
Solution
Give the dimension of the cube = 800 × 800 × 720
The slopes of the escalator at the turning points.
In the right angle ∆OAE
OE = 800
EA = 180
Let ∠AOE = θ
The slope of the escalator OE 180
tan θ = `"EA"/"OE"`
= `180/800`
= `9/40`
∴ Slope at each turning points is `9/40`
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