star20 said:Homework Statement
the gondola ski lift at kystone, Corolrado is 2830m long. On avg, the ski lift rises 14.6 degree above the horizontal. How high is the top of the ski lift relative to the base.
Homework Equations
tan * = ha/h
The Attempt at a Solution
i just have a question would the 2830m long ski lift be the length of the side adjacent to the angle * or would it be the hypotenuse
Trigonometry is used in designing a gondola ski lift to calculate the angles and distances required for the lift cables and towers to ensure the stability and safety of the lift.
The angle of inclination for a gondola ski lift is determined using the tangent function in trigonometry, where the opposite side (height) is divided by the adjacent side (horizontal distance) of the triangle formed by the lift's cable and towers.
Trigonometry is used to calculate the length of the lift cables by using the Pythagorean theorem, which states that the square of the hypotenuse (longest side) of a right triangle is equal to the sum of the squares of the other two sides.
Trigonometry is used to determine the positioning of the towers for a gondola ski lift by calculating the angles and distances between the towers and the lift's cable at different points, ensuring that the cable remains taut and the lift runs smoothly.
Yes, trigonometry can be used to calculate the speed of the gondola ski lift by using the sine function, which relates the angle of inclination to the speed of the lift. The higher the angle of inclination, the faster the lift will go.