The Palm Springs tramway takes passengers from the hot valley and brings them 5800 feet up into the cool San Jacinto mountains. The 15 minute ride costs about​ $20. Suppose the mountain terminal is 11520 feet West of the valley terminal. Use the Pythagorean Theorem to find the length of the cable that connects the two terminals
.Length of cable​ = _____ feet
      Round your answer to 2 decimal places

Respuesta :

Answer:

  12,897.69 ft

Step-by-step explanation:

The cable is assumed to be the hypotenuse of a right triangle with side lengths 11520 ft and 5800 ft. Then the length of it (in feet) is ...

  cable length = √(11520² +5800²) = √166,350,400 ≈ 12,897.69 . . . feet

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Comment on the question

A cable that long will have considerable sag, so even an answer rounded to the nearest 10 ft is probably in error by quite a bit.