Answer:
The length of the sky lift is 3.387.05 ft
Step-by-step explanation:
By an online search, i found that the sky lift rises at an angle of 20.75 degrees.
Then we can think on a triangle rectangle, such that:
One cathetus is 1200ft, this is the opposite cathetus to the angle of 20.75°
The length of the ski lift would be the hypotenuse of this triangle rectangle.
Then we can use the relationship:
Sin(a) = opposite cathetus/hypoteuse.
such that:
a = 20.75°
opposite cathetus = 1200ft
then:
sin(20.75°) = 1200ft/hypotenuse
hypotenuse = 1200ft/sin(20.75°) = 3.387.05 ft
The length of the sky lift is 3.387.05 ft
