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

Answer 1

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`