If the angle of elevation of the escalator is 10° 21’ 36° find th length of the escalator (picture provided)

The length of the escalator ≈ 1088.8 ft ⇒ answer (b)

Step-by-step explanation:

* Lets explain the problem

- Consider the escalator and the vertical raise formed a right

 angle triangle

- The length of the escalator is the hypotenuse

- The vertical rise is on leg of the right triangle

- The angle of elevation is the angle between the hypotenuse

  and the horizontal

* Now lets solve the problem

∵ Angle of elevation = 10° 21' 36"

∵ Vertical distance = 195.8 feet

* The vertical is opposite to the angle of elevation

∴ sin angel of elevation= the vertical/the length of the escalator

∴ sin(10° 21' 36") = 195.8/the length of the escalator

- By using cross multiplication

∴ The length of the escalator = 195.8/sin(10° 21' 36") = 1088.8 feet

* The length of the escalator = 1088.8 ft

x=30

step-by-step explanation: