Finding the Height of a Gondola Ski Lift Using Trigonometry

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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.
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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
 
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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.
 
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