Answer
$27^{\circ}$
Work Step by Step
Length of escalator
= $\sqrt (16^{2}-9^{2})$
= $5\sqrt 7$
$sin(\theta) = \frac{6}{5\sqrt 7}$
$\theta$ = $sin^{-1}(\frac{6}{5\sqrt 7}) \approx 27^{\circ}$
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