Finding the Height of a Gondola Ski Lift Using Trigonometry

  • Thread starter Thread starter star20
  • Start date Start date
  • Tags Tags
    Lift Trigonometry
AI Thread Summary
To find the height of the gondola ski lift, the length of 2830m represents the hypotenuse of the right triangle formed by the lift's rise. The angle of elevation is 14.6 degrees above the horizontal. To calculate the height, the sine function can be used, where the height is equal to the hypotenuse multiplied by the sine of the angle. The discussion clarifies the correct identification of the hypotenuse in relation to the angle. Understanding these trigonometric principles is essential for solving the problem accurately.
star20
Messages
6
Reaction score
0

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
 
Physics news on Phys.org


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

hypotenuse
 


Angles are always in degrees.

Angle A + Angle B + Angle C = 180* always for ANY triangle.
 

Thread 'Errors and significant figures'

I multiplied the values first without the error limit. Got 19.38. rounded it off to 2 significant figures since the given data has 2 significant figures. So = 19. For error I used the above formula. It comes out about 1.48. Now my question is. Should I write the answer as 19±1.5 (rounding 1.48 to 2 significant figures) OR should I write it as 19±1. So in short, should the error have same number of significant figures as the mean value or should it have the same number of decimal places as...
View full post »
Thread 'A cylinder connected to a hanging mass'

Thread 'A cylinder connected to a hanging mass'

Let's declare that for the cylinder, mass = M = 10 kg Radius = R = 4 m For the wall and the floor, Friction coeff = ##\mu## = 0.5 For the hanging mass, mass = m = 11 kg First, we divide the force according to their respective plane (x and y thing, correct me if I'm wrong) and according to which, cylinder or the hanging mass, they're working on. Force on the hanging mass $$mg - T = ma$$ Force(Cylinder) on y $$N_f + f_w - Mg = 0$$ Force(Cylinder) on x $$T + f_f - N_w = Ma$$ There's also...
View full post »

Similar threads

Calculating the Height of Keystone's Ski Lift
Replies
1
Views
1K
Solving for Ski Jumper Takeoff Speed: Using Energy and Motion Equations
Replies
1
Views
2K
How to calculate the kinematics of an object pushed up an inclinex plane?
Replies
7
Views
1K
Calculating Power Requirements for a Ski Lift
Replies
5
Views
12K
Calculate tilt angle of a bar lifted via two ropes on fixed points
Replies
7
Views
3K
How Is Gravitational Potential Energy Calculated for a Skier on a Ski Lift?
Replies
7
Views
8K
How to find the optimum angle for takeoff for ski jump using
Replies
3
Views
3K
What is the speed and tension of a wave pulse on a ski gondola cable?
Replies
2
Views
4K
Finding the WORK done by a crane in lifting a load
Replies
14
Views
8K
Identifying limit of puck height
Replies
1
Views
1K

Hot Threads

Recent Insights

Back
Top