Answer
(b) 24 $\sqrt 2 $ feet
Work Step by Step
Escalator , ground and vertical make a right triangle together. As escalator makes an angle of 45° with the ground, hence the triangle formed is 45°–45°–90° with length of escalator forming its longest side i.e. hypotenuse.
In a 45°–45°–90° triangle,
Hypotenuse = $\sqrt 2 \times $ shorter side
or Hypotenuse = $\sqrt 2 \times $ 24
Therefore length of escalator = 24 $\sqrt 2 $ feet
