Answered: 35.4°, rising to a height of 1693.5…

Trigonometry (11th Edition)

11th Edition

ISBN:9780134217437

Author:Margaret L. Lial, John Hornsby, David I. Schneider, Callie Daniels

Publisher:Margaret L. Lial, John Hornsby, David I. Schneider, Callie Daniels

Chapter1: Trigonometric Functions

Section: Chapter Questions

Problem 1RE: 1. Give the measures of the complement and the supplement of an angle measuring 35°.

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Question

Johnstown Inclined Plane The Johnstown
Inclined Plane in Pennsylvania is one of the longest
and steepest hoists in the world. The railway cars travel
a distance of 896.5 feet at an angle of approximately
35.4°, rising to a height of 1693.5 feet above sea level.
896.5 ft
1693.5 feet
above sea level
35.4° Not drawn to scale
(a) Find the vertical rise of the inclined plane.
(b) Find the elevation of the lower end of the inclined
plane.
(c) The cars move up the mountain at a rate of 300 feet
per minute. Find the rate at which they rise vertically.

35.4°, rising to a height of 1693.5 feet above sea level.
896.5 ft
829
135.4°
1693.5 feet
above sea level
Not drawn to scale
(a) Find the vertical rise of the inclined plane.
(b) Find the elevation of the lower end of the inclined

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