When designing the shopping center, it is planned to build an escalator to rise to a height

When designing the shopping center, it is planned to build an escalator to rise to a height of 2.5 m at an angle a to the horizon. Find the length of the escalator (in meters) if sin a = 0.2

Imagine an escalator in the form of a right-angled triangle ABC, where AC is the hypotenuse and at the same time the length of the escalator, BC is the leg (lift height), a is the angle between the hypotenuse AC and the other leg AB.
Based on the definition of sine, sin a = BC / AC, from here we can find AC.
AC = BC / sin a
AC = 2.5 / 0.2 = 12.5 m
Answer: The length of the escalator is 12.5 m.



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