Answer:
We can use trigonometry to solve this problem. Let's call the total distance traveled on the ski lift "d". We know that the angle of elevation from the bottom of the ski lift to the top of the mountain is 62°, which means the angle of depression from the top of the mountain to the bottom of the ski lift is also 62°.
Using trigonometry, we can write:
sin(62°) = 1,760 / d
To solve for "d", we can isolate it by multiplying both sides by "d" and then dividing both sides by sin(62°):
d = 1,760 / sin(62°)
Using a calculator, we get:
d ≈ 1,966.6 feet
Therefore, the total distance traveled on the ski lift from the bottom to the top of the mountain is approximately 1,966.6 feet.