When designing a shopping center, it is planned to build an escalator to rise to a height of 5 meters.
| September 16, 2021 | education
When designing a shopping center, it is planned to build an escalator to rise to a height of 5 meters. At what angle to the horizon should the escalator be positioned if its length is 10 meters?
The length of the escalator is the hypotenuse AB of the right-angled triangle ABC, AB = 10 m, the leg AC of which is equal to the lifting height. AC = 5 m.
The AC leg is two times shorter than the AB hypotenuse.
AC / AB = 5/10 = 1/2.
Then the leg of the AC lies against the angle 30.
Answer: The escalator must be positioned at an angle of 30 to the horizon.
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