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
bartleby

Concept explainers

bartleby

Videos

Question
Book Icon
Chapter 8, Problem 58SGA
To determine

To find: the magnitude and direction of the resultant of the given forces.

Expert Solution & Answer
Check Mark

Answer to Problem 58SGA

Magnitude: 154.63 N

Direction: 13.08°

Explanation of Solution

Given information:

Let the components be F1 and F2 . The force 90 N (F1) is acting along x -axis and force 70 N (F2) is making 30° angle with one another.

Calculation:

Resolve the components as shown below.

  F1=90iF2=(70cos30°)i+(70sin30°)j

The magnitude of the resultant vector is evaluated as follows:

  |F1+F2|=(90+70cos30°)2+(70sin30°)2=(150.62)2+(35)2=23911.28154.63 N

The direction of the resultant vector is evaluated as follows:

  tanθ=70sin30°90+70cos30°θ=tan1(70sin30°90+70cos30°)=tan1(0.23237)13.08°

Thus the magnitude and direction of resultant vector is 154.63 N and 13.08° respectively.

Chapter 8 Solutions

Advanced Mathematical Concepts: Precalculus with Applications, Student Edition

Ch. 8.1 - Prob. 11CFUCh. 8.1 - Prob. 12CFUCh. 8.1 - Prob. 13CFUCh. 8.1 - Prob. 14ECh. 8.1 - Prob. 15ECh. 8.1 - Prob. 16ECh. 8.1 - Prob. 17ECh. 8.1 - Prob. 18ECh. 8.1 - Prob. 19ECh. 8.1 - Prob. 20ECh. 8.1 - Prob. 21ECh. 8.1 - Prob. 22ECh. 8.1 - Prob. 23ECh. 8.1 - Prob. 24ECh. 8.1 - Prob. 25ECh. 8.1 - Prob. 26ECh. 8.1 - Prob. 27ECh. 8.1 - Prob. 28ECh. 8.1 - Prob. 29ECh. 8.1 - Prob. 30ECh. 8.1 - Prob. 31ECh. 8.1 - Prob. 32ECh. 8.1 - Prob. 33ECh. 8.1 - Prob. 34ECh. 8.1 - Prob. 35ECh. 8.1 - Prob. 36ECh. 8.1 - Prob. 37ECh. 8.1 - Prob. 38ECh. 8.1 - Prob. 39ECh. 8.1 - Prob. 40ECh. 8.1 - Prob. 41ECh. 8.1 - Prob. 42ECh. 8.1 - Prob. 43ECh. 8.1 - Prob. 44ECh. 8.1 - Prob. 45ECh. 8.1 - Prob. 46ECh. 8.1 - Prob. 47ECh. 8.1 - Prob. 48ECh. 8.1 - Prob. 49ECh. 8.1 - Prob. 50ECh. 8.1 - Prob. 51ECh. 8.1 - Prob. 52ECh. 8.2 - Prob. 1CFUCh. 8.2 - Prob. 2CFUCh. 8.2 - Prob. 3CFUCh. 8.2 - Prob. 4CFUCh. 8.2 - Prob. 5CFUCh. 8.2 - Prob. 6CFUCh. 8.2 - Prob. 7CFUCh. 8.2 - Prob. 8CFUCh. 8.2 - Prob. 9CFUCh. 8.2 - Prob. 10CFUCh. 8.2 - Prob. 11CFUCh. 8.2 - Prob. 12CFUCh. 8.2 - Prob. 13CFUCh. 8.2 - Prob. 14ECh. 8.2 - Prob. 15ECh. 8.2 - Prob. 16ECh. 8.2 - Prob. 17ECh. 8.2 - Prob. 18ECh. 8.2 - Prob. 19ECh. 8.2 - Prob. 20ECh. 8.2 - Prob. 21ECh. 8.2 - Prob. 22ECh. 8.2 - Prob. 23ECh. 8.2 - Prob. 24ECh. 8.2 - Prob. 25ECh. 8.2 - Prob. 26ECh. 8.2 - Prob. 27ECh. 8.2 - Prob. 28ECh. 8.2 - Prob. 29ECh. 8.2 - Prob. 30ECh. 8.2 - Prob. 31ECh. 8.2 - Prob. 32ECh. 8.2 - Prob. 33ECh. 8.2 - Prob. 34ECh. 8.2 - Prob. 35ECh. 8.2 - Prob. 36ECh. 8.2 - Prob. 37ECh. 8.2 - Prob. 38ECh. 8.2 - Prob. 39ECh. 8.2 - Prob. 40ECh. 8.2 - Prob. 41ECh. 8.2 - Prob. 42ECh. 8.2 - Prob. 43ECh. 8.2 - Prob. 44ECh. 8.2 - Prob. 45ECh. 8.2 - Prob. 46ECh. 8.2 - Prob. 47ECh. 8.2 - Prob. 48ECh. 8.2 - Prob. 49ECh. 8.2 - Prob. 50ECh. 8.2 - Prob. 51ECh. 8.2 - Prob. 52ECh. 8.2 - Prob. 53ECh. 8.2 - Prob. 54ECh. 8.2 - Prob. 55ECh. 8.2 - Prob. 56ECh. 8.2 - Prob. 57ECh. 8.3 - Prob. 1CFUCh. 8.3 - Prob. 2CFUCh. 8.3 - Prob. 3CFUCh. 8.3 - Prob. 4CFUCh. 8.3 - Prob. 5CFUCh. 8.3 - Prob. 6CFUCh. 8.3 - Prob. 7CFUCh. 8.3 - Prob. 8CFUCh. 8.3 - Prob. 9CFUCh. 8.3 - Prob. 10CFUCh. 8.3 - Prob. 11CFUCh. 8.3 - Prob. 12ECh. 8.3 - Prob. 13ECh. 8.3 - Prob. 14ECh. 8.3 - Prob. 15ECh. 8.3 - Prob. 16ECh. 8.3 - Prob. 17ECh. 8.3 - Prob. 18ECh. 8.3 - Prob. 19ECh. 8.3 - Prob. 20ECh. 8.3 - Prob. 21ECh. 8.3 - Prob. 22ECh. 8.3 - Prob. 23ECh. 8.3 - Prob. 24ECh. 8.3 - Prob. 25ECh. 8.3 - Prob. 26ECh. 8.3 - Prob. 27ECh. 8.3 - Prob. 28ECh. 8.3 - Prob. 29ECh. 8.3 - Prob. 30ECh. 8.3 - Prob. 31ECh. 8.3 - Prob. 32ECh. 8.3 - Prob. 33ECh. 8.3 - Prob. 34ECh. 8.3 - Prob. 35ECh. 8.3 - Prob. 36ECh. 8.3 - Prob. 37ECh. 8.3 - Prob. 38ECh. 8.3 - Prob. 39ECh. 8.3 - Prob. 40ECh. 8.3 - Prob. 41ECh. 8.3 - Prob. 42ECh. 8.3 - Prob. 43ECh. 8.3 - Prob. 44ECh. 8.3 - Prob. 45ECh. 8.3 - Prob. 46ECh. 8.3 - Prob. 47ECh. 8.3 - Prob. 48ECh. 8.3 - Prob. 49ECh. 8.3 - Prob. 50ECh. 8.4 - Prob. 1CFUCh. 8.4 - Prob. 2CFUCh. 8.4 - Prob. 3CFUCh. 8.4 - Prob. 4CFUCh. 8.4 - Prob. 5CFUCh. 8.4 - Prob. 6CFUCh. 8.4 - Prob. 7CFUCh. 8.4 - Prob. 8CFUCh. 8.4 - Prob. 9CFUCh. 8.4 - Prob. 10CFUCh. 8.4 - Prob. 11ECh. 8.4 - Prob. 12ECh. 8.4 - Prob. 13ECh. 8.4 - Prob. 14ECh. 8.4 - Prob. 15ECh. 8.4 - Prob. 16ECh. 8.4 - Prob. 17ECh. 8.4 - Prob. 18ECh. 8.4 - Prob. 19ECh. 8.4 - Prob. 20ECh. 8.4 - Prob. 21ECh. 8.4 - Prob. 22ECh. 8.4 - Prob. 23ECh. 8.4 - Prob. 24ECh. 8.4 - Prob. 25ECh. 8.4 - Prob. 26ECh. 8.4 - Prob. 27ECh. 8.4 - Prob. 28ECh. 8.4 - Prob. 29ECh. 8.4 - Prob. 30ECh. 8.4 - Prob. 31ECh. 8.4 - Prob. 32ECh. 8.4 - Prob. 33ECh. 8.4 - Prob. 34ECh. 8.4 - Prob. 35ECh. 8.4 - Prob. 36ECh. 8.4 - Prob. 37ECh. 8.4 - Prob. 38ECh. 8.4 - Prob. 39ECh. 8.4 - Prob. 40ECh. 8.4 - Prob. 41ECh. 8.4 - Prob. 42ECh. 8.4 - Prob. 43ECh. 8.4 - Prob. 44ECh. 8.4 - Prob. 45ECh. 8.4 - Prob. 46ECh. 8.4 - Prob. 47ECh. 8.4 - Prob. 1MCQCh. 8.4 - Prob. 2MCQCh. 8.4 - Prob. 3MCQCh. 8.4 - Prob. 4MCQCh. 8.4 - Prob. 5MCQCh. 8.4 - Prob. 6MCQCh. 8.4 - Prob. 7MCQCh. 8.4 - Prob. 8MCQCh. 8.4 - Prob. 9MCQCh. 8.4 - Prob. 10MCQCh. 8.4B - Prob. 1GCECh. 8.4B - Prob. 2GCECh. 8.4B - Prob. 3GCECh. 8.4B - Prob. 4GCECh. 8.4B - Prob. 5GCECh. 8.4B - Prob. 6GCECh. 8.4B - Prob. 7GCECh. 8.4B - Prob. 8GCECh. 8.4B - Prob. 9GCECh. 8.5 - Prob. 1CFUCh. 8.5 - Prob. 2CFUCh. 8.5 - Prob. 3CFUCh. 8.5 - Prob. 4CFUCh. 8.5 - Prob. 5CFUCh. 8.5 - Prob. 6CFUCh. 8.5 - Prob. 7CFUCh. 8.5 - Prob. 8CFUCh. 8.5 - Prob. 9CFUCh. 8.5 - Prob. 10ECh. 8.5 - Prob. 11ECh. 8.5 - Prob. 12ECh. 8.5 - Prob. 13ECh. 8.5 - Prob. 14ECh. 8.5 - Prob. 15ECh. 8.5 - Prob. 16ECh. 8.5 - Prob. 17ECh. 8.5 - Prob. 18ECh. 8.5 - Prob. 19ECh. 8.5 - Prob. 20ECh. 8.5 - Prob. 21ECh. 8.5 - Prob. 22ECh. 8.5 - Prob. 23ECh. 8.5 - Prob. 24ECh. 8.5 - Prob. 25ECh. 8.5 - Prob. 26ECh. 8.5 - Prob. 27ECh. 8.5 - Prob. 28ECh. 8.5 - Prob. 29ECh. 8.5 - Prob. 30ECh. 8.5 - Prob. 31ECh. 8.5 - Prob. 32ECh. 8.5 - Prob. 33ECh. 8.5 - Prob. 34ECh. 8.5 - Prob. 35ECh. 8.5 - Prob. 36ECh. 8.5 - Prob. 37ECh. 8.5 - Prob. 38ECh. 8.6 - Prob. 1CFUCh. 8.6 - Prob. 2CFUCh. 8.6 - Prob. 3CFUCh. 8.6 - Prob. 4CFUCh. 8.6 - Prob. 5CFUCh. 8.6 - Prob. 6CFUCh. 8.6 - Prob. 7CFUCh. 8.6 - Prob. 8CFUCh. 8.6 - Prob. 9CFUCh. 8.6 - Prob. 10CFUCh. 8.6 - Prob. 11CFUCh. 8.6 - Prob. 12ECh. 8.6 - Prob. 13ECh. 8.6 - Prob. 14ECh. 8.6 - Prob. 15ECh. 8.6 - Prob. 16ECh. 8.6 - Prob. 17ECh. 8.6 - Prob. 18ECh. 8.6 - Prob. 19ECh. 8.6 - Prob. 20ECh. 8.6 - Prob. 21ECh. 8.6 - Prob. 22ECh. 8.6 - Prob. 23ECh. 8.6 - Prob. 24ECh. 8.6 - Prob. 25ECh. 8.6 - Prob. 26ECh. 8.6 - Prob. 27ECh. 8.6 - Prob. 28ECh. 8.6 - Prob. 29ECh. 8.6 - Prob. 30ECh. 8.6 - Prob. 31ECh. 8.6 - Prob. 32ECh. 8.6 - Prob. 33ECh. 8.6 - Prob. 34ECh. 8.6 - Prob. 35ECh. 8.6 - Prob. 36ECh. 8.6 - Prob. 37ECh. 8.6 - Prob. 38ECh. 8.6 - Prob. 39ECh. 8.6 - Prob. 40ECh. 8.6 - Prob. 41ECh. 8.6 - Prob. 42ECh. 8.6 - Prob. 43ECh. 8.6 - Prob. 44ECh. 8.6 - Prob. 45ECh. 8.6 - Prob. 46ECh. 8.6B - Prob. 1GCECh. 8.6B - Prob. 2GCECh. 8.6B - Prob. 3GCECh. 8.7 - Prob. 1CFUCh. 8.7 - Prob. 2CFUCh. 8.7 - Prob. 3CFUCh. 8.7 - Prob. 4CFUCh. 8.7 - Prob. 5CFUCh. 8.7 - Prob. 6CFUCh. 8.7 - Prob. 7CFUCh. 8.7 - Prob. 8CFUCh. 8.7 - Prob. 9ECh. 8.7 - Prob. 10ECh. 8.7 - Prob. 11ECh. 8.7 - Prob. 12ECh. 8.7 - Prob. 13ECh. 8.7 - Prob. 14ECh. 8.7 - Prob. 15ECh. 8.7 - Prob. 16ECh. 8.7 - Prob. 17ECh. 8.7 - Prob. 18ECh. 8.7 - Prob. 19ECh. 8.7 - Prob. 20ECh. 8.7 - Prob. 21ECh. 8.7 - Prob. 22ECh. 8.7 - Prob. 23ECh. 8.7 - Prob. 24ECh. 8.7 - Prob. 25ECh. 8.7 - Prob. 26ECh. 8.7 - Prob. 27ECh. 8.7 - Prob. 28ECh. 8.7 - Prob. 29ECh. 8.8 - Prob. 1CFUCh. 8.8 - Prob. 2CFUCh. 8.8 - Prob. 3CFUCh. 8.8 - Prob. 4CFUCh. 8.8 - Prob. 5CFUCh. 8.8 - Prob. 6CFUCh. 8.8 - Prob. 7ECh. 8.8 - Prob. 8ECh. 8.8 - Prob. 9ECh. 8.8 - Prob. 10ECh. 8.8 - Prob. 11ECh. 8.8 - Prob. 12ECh. 8.8 - Prob. 13ECh. 8.8 - Prob. 14ECh. 8.8 - Prob. 15ECh. 8.8 - Prob. 16ECh. 8.8 - Prob. 17ECh. 8.8 - Prob. 18ECh. 8.8 - Prob. 19ECh. 8.8 - Prob. 20ECh. 8.8 - Prob. 21ECh. 8.8 - Prob. 22ECh. 8.8 - Prob. 23ECh. 8.8 - Prob. 24ECh. 8.8 - Prob. 25ECh. 8.8 - Prob. 26ECh. 8.8 - Prob. 27ECh. 8.8 - Prob. 28ECh. 8.8 - Prob. 29ECh. 8.8 - Prob. 30ECh. 8 - Prob. 1SGACh. 8 - Prob. 2SGACh. 8 - Prob. 3SGACh. 8 - Prob. 4SGACh. 8 - Prob. 5SGACh. 8 - Prob. 6SGACh. 8 - Prob. 7SGACh. 8 - Prob. 8SGACh. 8 - Prob. 9SGACh. 8 - Prob. 10SGACh. 8 - Prob. 11SGACh. 8 - Prob. 12SGACh. 8 - Prob. 13SGACh. 8 - Prob. 14SGACh. 8 - Prob. 15SGACh. 8 - Prob. 16SGACh. 8 - Prob. 17SGACh. 8 - Prob. 18SGACh. 8 - Prob. 19SGACh. 8 - Prob. 20SGACh. 8 - Prob. 21SGACh. 8 - Prob. 22SGACh. 8 - Prob. 23SGACh. 8 - Prob. 24SGACh. 8 - Prob. 25SGACh. 8 - Prob. 26SGACh. 8 - Prob. 27SGACh. 8 - Prob. 28SGACh. 8 - Prob. 29SGACh. 8 - Prob. 30SGACh. 8 - Prob. 31SGACh. 8 - Prob. 32SGACh. 8 - Prob. 33SGACh. 8 - Prob. 34SGACh. 8 - Prob. 35SGACh. 8 - Prob. 36SGACh. 8 - Prob. 37SGACh. 8 - Prob. 38SGACh. 8 - Prob. 39SGACh. 8 - Prob. 40SGACh. 8 - Prob. 41SGACh. 8 - Prob. 42SGACh. 8 - Prob. 43SGACh. 8 - Prob. 44SGACh. 8 - Prob. 45SGACh. 8 - Prob. 46SGACh. 8 - Prob. 47SGACh. 8 - Prob. 48SGACh. 8 - Prob. 49SGACh. 8 - Prob. 50SGACh. 8 - Prob. 51SGACh. 8 - Prob. 52SGACh. 8 - Prob. 53SGACh. 8 - Prob. 54SGACh. 8 - Prob. 55SGACh. 8 - Prob. 56SGACh. 8 - Prob. 57SGACh. 8 - Prob. 58SGACh. 8 - Prob. 1SAPCh. 8 - Prob. 2SAPCh. 8 - Prob. 3SAPCh. 8 - Prob. 4SAPCh. 8 - Prob. 5SAPCh. 8 - Prob. 6SAPCh. 8 - Prob. 7SAPCh. 8 - Prob. 8SAPCh. 8 - Prob. 9SAPCh. 8 - Prob. 10SAP
Knowledge Booster
Background pattern image
Calculus
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, calculus and related others by exploring similar questions and additional content below.
Recommended textbooks for you
Text book image
Calculus: Early Transcendentals
Calculus
ISBN:9781285741550
Author:James Stewart
Publisher:Cengage Learning
Text book image
Thomas' Calculus (14th Edition)
Calculus
ISBN:9780134438986
Author:Joel R. Hass, Christopher E. Heil, Maurice D. Weir
Publisher:PEARSON
Text book image
Calculus: Early Transcendentals (3rd Edition)
Calculus
ISBN:9780134763644
Author:William L. Briggs, Lyle Cochran, Bernard Gillett, Eric Schulz
Publisher:PEARSON
Text book image
Calculus: Early Transcendentals
Calculus
ISBN:9781319050740
Author:Jon Rogawski, Colin Adams, Robert Franzosa
Publisher:W. H. Freeman
Text book image
Precalculus
Calculus
ISBN:9780135189405
Author:Michael Sullivan
Publisher:PEARSON
Text book image
Calculus: Early Transcendental Functions
Calculus
ISBN:9781337552516
Author:Ron Larson, Bruce H. Edwards
Publisher:Cengage Learning
Trigonometric Ratios; Author: The Organic Chemistry Tutor;https://www.youtube.com/watch?v=9-eHMMpQC2k;License: Standard YouTube License, CC-BY