Advanced Mathematical Concepts: Precalculus with Applications, Student Edition
Advanced Mathematical Concepts: Precalculus with Applications, Student Edition
1st Edition
ISBN: 9780078682278
Author: McGraw-Hill, Berchie Holliday
Publisher: Glencoe/McGraw-Hill
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Chapter 5.5, Problem 44E

(a)

To determine

To find: The angle of elevation of the railway.

(a)

Expert Solution
Check Mark

Answer to Problem 44E

  angle of elevation=39.4

Explanation of Solution

Given information: Railways: The steepest railway in the world is the Katoomba Scenic Railway in Australia. The passenger car is pulled up the mountain by twin steel cables. It travels along the track 1020 feet to obtain a change in altitude of 647 feet.

Calculation:

Advanced Mathematical Concepts: Precalculus with Applications, Student Edition, Chapter 5.5, Problem 44E

This is the sketch of the triangle. From our angle of elevation we have the opposite and hypotenuse so use sin1

  sin16471020=angle of elevationangle of elevation=39.4

(b)

To determine

How far does the car travel in a horizontal direction?

(b)

Expert Solution
Check Mark

Answer to Problem 44E

  788 feet

Explanation of Solution

Given information: Railways: The steepest railway in the world is the Katoomba Scenic Railway in Australia. The passenger car is pulled up the mountain by twin steel cables. It travels along the track 1020 feet to obtain a change in altitude of 647 feet.

Calculation:

The horizontal distance the train travels is the “ x ” in the sketch. We know now the angle is 39.4 and we are looking for the adjacent side, so we can do cosine or tangent. Cosine is my choice.

  cos39.4=x1020x=1020×cos39.4x=788 feet

Chapter 5 Solutions

Advanced Mathematical Concepts: Precalculus with Applications, Student Edition

Ch. 5.1 - Prob. 11CFUCh. 5.1 - Prob. 12CFUCh. 5.1 - Prob. 13CFUCh. 5.1 - Prob. 14CFUCh. 5.1 - Prob. 15CFUCh. 5.1 - Prob. 16CFUCh. 5.1 - Prob. 17CFUCh. 5.1 - Prob. 18ECh. 5.1 - Prob. 19ECh. 5.1 - Prob. 20ECh. 5.1 - Prob. 21ECh. 5.1 - Prob. 22ECh. 5.1 - Prob. 23ECh. 5.1 - Prob. 24ECh. 5.1 - Prob. 25ECh. 5.1 - Prob. 26ECh. 5.1 - Prob. 27ECh. 5.1 - Prob. 28ECh. 5.1 - Prob. 29ECh. 5.1 - Prob. 30ECh. 5.1 - Prob. 31ECh. 5.1 - Prob. 32ECh. 5.1 - Prob. 33ECh. 5.1 - Prob. 34ECh. 5.1 - Prob. 35ECh. 5.1 - Prob. 36ECh. 5.1 - Prob. 37ECh. 5.1 - Prob. 38ECh. 5.1 - Prob. 39ECh. 5.1 - Prob. 40ECh. 5.1 - Prob. 41ECh. 5.1 - Prob. 42ECh. 5.1 - Prob. 43ECh. 5.1 - Prob. 44ECh. 5.1 - Prob. 45ECh. 5.1 - Prob. 46ECh. 5.1 - Prob. 47ECh. 5.1 - Prob. 48ECh. 5.1 - Prob. 49ECh. 5.1 - Prob. 50ECh. 5.1 - Prob. 51ECh. 5.1 - Prob. 52ECh. 5.1 - Prob. 53ECh. 5.1 - Prob. 54ECh. 5.1 - Prob. 55ECh. 5.1 - Prob. 56ECh. 5.1 - Prob. 57ECh. 5.1 - Prob. 58ECh. 5.1 - Prob. 59ECh. 5.1 - Prob. 60ECh. 5.1 - Prob. 61ECh. 5.1 - Prob. 62ECh. 5.1 - 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Prob. 38ECh. 5.3 - Prob. 1CFUCh. 5.3 - Prob. 2CFUCh. 5.3 - Prob. 3CFUCh. 5.3 - Prob. 4CFUCh. 5.3 - Prob. 5CFUCh. 5.3 - Prob. 6CFUCh. 5.3 - Prob. 7CFUCh. 5.3 - Prob. 8CFUCh. 5.3 - Prob. 9CFUCh. 5.3 - Prob. 10CFUCh. 5.3 - Prob. 11CFUCh. 5.3 - Prob. 12CFUCh. 5.3 - Prob. 13CFUCh. 5.3 - Prob. 14ECh. 5.3 - Prob. 15ECh. 5.3 - Prob. 16ECh. 5.3 - Prob. 17ECh. 5.3 - Prob. 18ECh. 5.3 - Prob. 19ECh. 5.3 - Prob. 20ECh. 5.3 - Prob. 21ECh. 5.3 - Prob. 22ECh. 5.3 - Prob. 23ECh. 5.3 - Prob. 24ECh. 5.3 - Prob. 25ECh. 5.3 - Prob. 26ECh. 5.3 - Prob. 27ECh. 5.3 - Prob. 28ECh. 5.3 - Prob. 29ECh. 5.3 - Prob. 30ECh. 5.3 - Prob. 31ECh. 5.3 - Prob. 32ECh. 5.3 - Prob. 33ECh. 5.3 - Prob. 34ECh. 5.3 - Prob. 35ECh. 5.3 - Prob. 36ECh. 5.3 - Prob. 37ECh. 5.3 - Prob. 38ECh. 5.3 - Prob. 39ECh. 5.3 - Prob. 40ECh. 5.3 - Prob. 41ECh. 5.3 - Prob. 42ECh. 5.3 - Prob. 43ECh. 5.3 - Prob. 44ECh. 5.3 - Prob. 45ECh. 5.3 - Prob. 46ECh. 5.3 - Prob. 47ECh. 5.3 - Prob. 48ECh. 5.3 - Prob. 49ECh. 5.3 - Prob. 50ECh. 5.3 - Prob. 51ECh. 5.3 - Prob. 52ECh. 5.3 - Prob. 53ECh. 5.3 - Prob. 54ECh. 5.3 - Prob. 55ECh. 5.3 - Prob. 56ECh. 5.3 - Prob. 57ECh. 5.3 - Prob. 58ECh. 5.3 - Prob. 59ECh. 5.3 - Prob. 60ECh. 5.4 - Prob. 1CFUCh. 5.4 - Prob. 2CFUCh. 5.4 - Prob. 3CFUCh. 5.4 - Prob. 4CFUCh. 5.4 - Prob. 5CFUCh. 5.4 - Prob. 6CFUCh. 5.4 - Prob. 7CFUCh. 5.4 - Prob. 8CFUCh. 5.4 - Prob. 9CFUCh. 5.4 - Prob. 10ECh. 5.4 - Prob. 11ECh. 5.4 - Prob. 12ECh. 5.4 - Prob. 13ECh. 5.4 - Prob. 14ECh. 5.4 - Prob. 15ECh. 5.4 - Prob. 16ECh. 5.4 - Prob. 17ECh. 5.4 - Prob. 18ECh. 5.4 - Prob. 19ECh. 5.4 - Prob. 20ECh. 5.4 - Prob. 21ECh. 5.4 - Prob. 22ECh. 5.4 - Prob. 23ECh. 5.4 - Prob. 24ECh. 5.4 - Prob. 25ECh. 5.4 - Prob. 26ECh. 5.4 - Prob. 27ECh. 5.4 - Prob. 28ECh. 5.4 - Prob. 29ECh. 5.4 - Prob. 30ECh. 5.4 - Prob. 31ECh. 5.4 - Prob. 32ECh. 5.4 - Prob. 33ECh. 5.4 - Prob. 34ECh. 5.4 - Prob. 35ECh. 5.4 - Prob. 36ECh. 5.4 - Prob. 1MCQCh. 5.4 - Prob. 2MCQCh. 5.4 - Prob. 3MCQCh. 5.4 - Prob. 4MCQCh. 5.4 - Prob. 5MCQCh. 5.5 - Prob. 1CFUCh. 5.5 - Prob. 2CFUCh. 5.5 - 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Prob. 55ECh. 5.5 - Prob. 56ECh. 5.5 - Prob. 57ECh. 5.5 - Prob. 58ECh. 5.5 - Prob. 59ECh. 5.5 - Prob. 60ECh. 5.6 - Prob. 1CFUCh. 5.6 - Prob. 2CFUCh. 5.6 - Prob. 3CFUCh. 5.6 - Prob. 4CFUCh. 5.6 - Prob. 5CFUCh. 5.6 - Prob. 6CFUCh. 5.6 - Prob. 7CFUCh. 5.6 - Prob. 8CFUCh. 5.6 - Prob. 9CFUCh. 5.6 - Prob. 10CFUCh. 5.6 - Prob. 11ECh. 5.6 - Prob. 12ECh. 5.6 - Prob. 13ECh. 5.6 - Prob. 14ECh. 5.6 - Prob. 15ECh. 5.6 - Prob. 16ECh. 5.6 - Prob. 17ECh. 5.6 - Prob. 18ECh. 5.6 - Prob. 19ECh. 5.6 - Prob. 20ECh. 5.6 - Prob. 21ECh. 5.6 - Prob. 22ECh. 5.6 - Prob. 23ECh. 5.6 - Prob. 24ECh. 5.6 - Prob. 25ECh. 5.6 - Prob. 26ECh. 5.6 - Prob. 27ECh. 5.6 - Prob. 28ECh. 5.6 - Prob. 29ECh. 5.6 - Prob. 30ECh. 5.6 - Prob. 31ECh. 5.6 - Prob. 32ECh. 5.6 - Prob. 33ECh. 5.6 - Prob. 34ECh. 5.6 - Prob. 35ECh. 5.6 - Prob. 36ECh. 5.6 - Prob. 37ECh. 5.6 - Prob. 38ECh. 5.6 - Prob. 39ECh. 5.6 - Prob. 40ECh. 5.6 - Prob. 41ECh. 5.6 - Prob. 42ECh. 5.7 - Prob. 1GCECh. 5.7 - Prob. 2GCECh. 5.7 - Prob. 3GCECh. 5.7 - Prob. 4GCECh. 5.7 - Prob. 1CFUCh. 5.7 - Prob. 2CFUCh. 5.7 - Prob. 3CFUCh. 5.7 - Prob. 4CFUCh. 5.7 - Prob. 5CFUCh. 5.7 - Prob. 6CFUCh. 5.7 - Prob. 7CFUCh. 5.7 - Prob. 8CFUCh. 5.7 - Prob. 9CFUCh. 5.7 - Prob. 10CFUCh. 5.7 - Prob. 11ECh. 5.7 - Prob. 12ECh. 5.7 - Prob. 13ECh. 5.7 - Prob. 14ECh. 5.7 - Prob. 15ECh. 5.7 - Prob. 16ECh. 5.7 - Prob. 17ECh. 5.7 - Prob. 18ECh. 5.7 - Prob. 19ECh. 5.7 - Prob. 20ECh. 5.7 - Prob. 21ECh. 5.7 - Prob. 22ECh. 5.7 - Prob. 23ECh. 5.7 - Prob. 24ECh. 5.7 - Prob. 25ECh. 5.7 - Prob. 26ECh. 5.7 - Prob. 27ECh. 5.7 - Prob. 28ECh. 5.7 - Prob. 29ECh. 5.7 - Prob. 30ECh. 5.7 - Prob. 31ECh. 5.7 - Prob. 32ECh. 5.7 - Prob. 33ECh. 5.7 - Prob. 34ECh. 5.7 - Prob. 35ECh. 5.7 - Prob. 36ECh. 5.7 - Prob. 37ECh. 5.7 - Prob. 38ECh. 5.7 - Prob. 39ECh. 5.7 - Prob. 40ECh. 5.7 - Prob. 41ECh. 5.7 - Prob. 42ECh. 5.7 - Prob. 43ECh. 5.7 - Prob. 44ECh. 5.7 - Prob. 45ECh. 5.7 - Prob. 46ECh. 5.8 - Prob. 1CFUCh. 5.8 - Prob. 2CFUCh. 5.8 - Prob. 3CFUCh. 5.8 - Prob. 4CFUCh. 5.8 - Prob. 5CFUCh. 5.8 - Prob. 6CFUCh. 5.8 - Prob. 7CFUCh. 5.8 - Prob. 8CFUCh. 5.8 - Prob. 9CFUCh. 5.8 - Prob. 10CFUCh. 5.8 - Prob. 11ECh. 5.8 - Prob. 12ECh. 5.8 - Prob. 13ECh. 5.8 - Prob. 14ECh. 5.8 - Prob. 15ECh. 5.8 - Prob. 16ECh. 5.8 - Prob. 17ECh. 5.8 - Prob. 18ECh. 5.8 - Prob. 19ECh. 5.8 - Prob. 20ECh. 5.8 - Prob. 21ECh. 5.8 - Prob. 22ECh. 5.8 - Prob. 23ECh. 5.8 - Prob. 24ECh. 5.8 - Prob. 25ECh. 5.8 - Prob. 26ECh. 5.8 - Prob. 27ECh. 5.8 - Prob. 28ECh. 5.8 - Prob. 29ECh. 5.8 - Prob. 30ECh. 5.8 - Prob. 31ECh. 5.8 - Prob. 32ECh. 5.8 - Prob. 33ECh. 5.8 - Prob. 34ECh. 5.8 - Prob. 35ECh. 5.8 - Prob. 36ECh. 5.8 - Prob. 37ECh. 5.8 - Prob. 38ECh. 5.8B - Prob. 1GCECh. 5.8B - Prob. 2GCECh. 5.8B - Prob. 3GCECh. 5.8B - Prob. 4GCECh. 5 - Prob. 1SGACh. 5 - Prob. 2SGACh. 5 - Prob. 3SGACh. 5 - Prob. 4SGACh. 5 - Prob. 5SGACh. 5 - Prob. 6SGACh. 5 - Prob. 7SGACh. 5 - Prob. 8SGACh. 5 - Prob. 9SGACh. 5 - Prob. 10SGACh. 5 - Prob. 11SGACh. 5 - Prob. 12SGACh. 5 - Prob. 13SGACh. 5 - Prob. 14SGACh. 5 - Prob. 15SGACh. 5 - Prob. 16SGACh. 5 - Prob. 17SGACh. 5 - Prob. 18SGACh. 5 - Prob. 19SGACh. 5 - Prob. 20SGACh. 5 - Prob. 21SGACh. 5 - Prob. 22SGACh. 5 - Prob. 23SGACh. 5 - Prob. 24SGACh. 5 - Prob. 25SGACh. 5 - Prob. 26SGACh. 5 - Prob. 27SGACh. 5 - Prob. 28SGACh. 5 - Prob. 29SGACh. 5 - Prob. 30SGACh. 5 - Prob. 31SGACh. 5 - Prob. 32SGACh. 5 - Prob. 33SGACh. 5 - Prob. 34SGACh. 5 - Prob. 35SGACh. 5 - Prob. 36SGACh. 5 - Prob. 37SGACh. 5 - Prob. 38SGACh. 5 - Prob. 39SGACh. 5 - Prob. 40SGACh. 5 - Prob. 41SGACh. 5 - Prob. 42SGACh. 5 - Prob. 43SGACh. 5 - Prob. 44SGACh. 5 - Prob. 45SGACh. 5 - Prob. 46SGACh. 5 - Prob. 47SGACh. 5 - Prob. 48SGACh. 5 - Prob. 49SGACh. 5 - Prob. 50SGACh. 5 - Prob. 51SGACh. 5 - Prob. 52SGACh. 5 - Prob. 53SGACh. 5 - Prob. 54SGACh. 5 - Prob. 55SGACh. 5 - Prob. 56SGACh. 5 - Prob. 57SGACh. 5 - Prob. 58SGACh. 5 - Prob. 59SGACh. 5 - Prob. 60SGACh. 5 - Prob. 1SAPCh. 5 - Prob. 2SAPCh. 5 - Prob. 3SAPCh. 5 - Prob. 4SAPCh. 5 - Prob. 5SAPCh. 5 - Prob. 6SAPCh. 5 - Prob. 7SAPCh. 5 - Prob. 8SAPCh. 5 - Prob. 9SAPCh. 5 - Prob. 10SAP

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