A steep mountain is inclined 71 to the horizontal and reaches a height of 4700 feet at its peak. A cable car station is to be installed 860 feet from the base of the mountain. Find the shortest length of cable needed to connect the station to the top of the mountain. (Round your answers to the nearest hundredths.) The shortest length of the cable is = Check Answer ft

Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
icon
Related questions
Question

QUESTION 10

A steep mountain is inclined 71 to the horizontal and reaches a height of 4700 feet at its peak. A cable car station is to be
installed 860 feet from the base of the mountain. Find the shortest length of cable needed to connect the station to the
top of the mountain.
(Round your answers to the nearest hundredths.)
The shortest length of the cable is =
Check Answer
ft
Transcribed Image Text:A steep mountain is inclined 71 to the horizontal and reaches a height of 4700 feet at its peak. A cable car station is to be installed 860 feet from the base of the mountain. Find the shortest length of cable needed to connect the station to the top of the mountain. (Round your answers to the nearest hundredths.) The shortest length of the cable is = Check Answer ft
Expert Solution
steps

Step by step

Solved in 3 steps with 2 images

Blurred answer
Recommended textbooks for you
Calculus: Early Transcendentals
Calculus: Early Transcendentals
Calculus
ISBN:
9781285741550
Author:
James Stewart
Publisher:
Cengage Learning
Thomas' Calculus (14th Edition)
Thomas' Calculus (14th Edition)
Calculus
ISBN:
9780134438986
Author:
Joel R. Hass, Christopher E. Heil, Maurice D. Weir
Publisher:
PEARSON
Calculus: Early Transcendentals (3rd Edition)
Calculus: Early Transcendentals (3rd Edition)
Calculus
ISBN:
9780134763644
Author:
William L. Briggs, Lyle Cochran, Bernard Gillett, Eric Schulz
Publisher:
PEARSON
Calculus: Early Transcendentals
Calculus: Early Transcendentals
Calculus
ISBN:
9781319050740
Author:
Jon Rogawski, Colin Adams, Robert Franzosa
Publisher:
W. H. Freeman
Precalculus
Precalculus
Calculus
ISBN:
9780135189405
Author:
Michael Sullivan
Publisher:
PEARSON
Calculus: Early Transcendental Functions
Calculus: Early Transcendental Functions
Calculus
ISBN:
9781337552516
Author:
Ron Larson, Bruce H. Edwards
Publisher:
Cengage Learning