When designing a shopping center, it is planned to build an escalator to rise to a height of 2.5 m at an angle

When designing a shopping center, it is planned to build an escalator to rise to a height of 2.5 m at an angle of 30 º to the horizon. Find the length of the escalator (in meters).

Imagine this escalator in your mind. Let’s draw a perpendicular from its upper edge to the floor of the shopping center. Thus, we get a rectangular triangle, in which the length of the escalator will represent the hypotenuse.

Let us find out through what number of meters the length of the escalator is expressed, when we know from the condition of the assignment that its upper point is 2.5 meters from the floor:

sin 30º = 1/2 = 0.5.

Lsq = 2.5: 0.5 = 5.

Answer: The escalator height in our case will be 5 meters.




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