Answer:
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
