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

answer:  

step-by-step explanation:

here x represents the height of the pole,

and, the height of the shadow of the pole is 12 feet.

also, the angle of elevation from the top of the pole is 40°,

therefore,

by the low of sine,

which is the required equation for finding the value of x,

which expression represents the approximate length of bc?

step-by-step explanation: