Algebra 1
Algebra 1
1st Edition
ISBN: 9780078884801
Author: McGraw-Hill/Glencoe
Publisher: Glencoe/McGraw-Hill School Pub Co
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Concept explainers

Ratios
A ratio is a comparison between two numbers of the same kind. It represents how many times one number contains another. It also represents how small or large one number is compared to the other.
Trigonometric Ratios
Trigonometric ratios give values of trigonometric functions. It always deals with triangles that have one angle measuring 90 degrees. These triangles are right-angled. We take the ratio of sides of these triangles.
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Question
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Chapter 10.8, Problem 43PPS
To determine

To calculate the horizontal distance to the city.

Expert Solution & Answer
Check Mark

Answer to Problem 43PPS

35,587 feet

Explanation of Solution

Given:

The height of airplane from the ground is 5000 feet.

The angle that Ella looks down is 8°.

Concept used:

Hypotenuse is the longest side of the right triangle.

Perpendicular is the line at an angle of 90°.

Base is the side of the right triangle on which the right angle stands.

Relationship between angles and the sides of the triangle is given by,

  tanθ=PerpendicularBase

Calculation:

Let x be the horizontal distance to the city.

Sketching the given situation,

  Algebra 1, Chapter 10.8, Problem 43PPS

Given that the height of the airplane from the ground is 5000 feet. The angle between Ella’s eye sight to the ground is 8°.

Substituting the values in the trigonometric ratio,

  tanθ=PerpendicularBasetan 8°=5000xx=5000tan 8°

Calculating the value of tan 8° using a calculator and substituting,

  x=50000.1405x≃35587

Conclusion:

The horizontal distance between the city is 35,587 feet.

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Chapter 10.8, Problem 42PPS
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Chapter 10.8, Problem 44PPS

Chapter 10 Solutions

Algebra 1

Ch. 10.1 - Prob. 1ACYPCh. 10.1 - Prob. 1BCYPCh. 10.1 - Prob. 2ACYPCh. 10.1 - Prob. 2BCYPCh. 10.1 - Prob. 3ACYPCh. 10.1 - Prob. 3BCYPCh. 10.1 - Prob. 4CYPCh. 10.1 - Prob. 5ACYPCh. 10.1 - Prob. 5BCYPCh. 10.1 - Prob. 1CYU
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Prob. 36HPCh. 10.4 - Prob. 38STPCh. 10.4 - Prob. 39STPCh. 10.4 - Prob. 40STPCh. 10.4 - Prob. 41STPCh. 10.4 - Prob. 42SRCh. 10.4 - Prob. 43SRCh. 10.4 - Prob. 44SRCh. 10.4 - Prob. 45SRCh. 10.4 - Prob. 46SRCh. 10.4 - Prob. 47SRCh. 10.4 - Prob. 48SRCh. 10.4 - Prob. 49SRCh. 10.4 - Prob. 50SRCh. 10.4 - Prob. 51SRCh. 10.4 - Prob. 52SRCh. 10.4 - Prob. 53SRCh. 10.4 - Prob. 54SRCh. 10.4 - Prob. 55SRCh. 10.4 - Prob. 56SRCh. 10.4 - Prob. 57SRCh. 10.4 - Prob. 58SRCh. 10.4 - Prob. 59SRCh. 10.4 - Prob. 60SRCh. 10.4 - Prob. 61SRCh. 10.4 - Prob. 62SCh. 10.4 - Prob. 63SCh. 10.4 - Prob. 64SCh. 10.4 - Prob. 65SCh. 10.4 - Prob. 66SCh. 10.4 - Prob. 67SCh. 10.4 - Prob. 1CYPCh. 10.4 - Prob. 2ACYPCh. 10.4 - Prob. 2BCYPCh. 10.4 - Prob. 3ACYPCh. 10.4 - Prob. 3BCYPCh. 10.4 - Prob. 29PPSCh. 10.4 - Prob. 37HPCh. 10.5 - Prob. 1CYUCh. 10.5 - Prob. 2CYUCh. 10.5 - Prob. 3CYUCh. 10.5 - Prob. 4CYUCh. 10.5 - Prob. 6CYUCh. 10.5 - Prob. 7CYUCh. 10.5 - Prob. 8CYUCh. 10.5 - Prob. 9CYUCh. 10.5 - Prob. 10PPSCh. 10.5 - Prob. 11PPSCh. 10.5 - 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Prob. 47PPSCh. 10.8 - Prob. 48PPSCh. 10.8 - Prob. 49PPSCh. 10.8 - Prob. 50PPSCh. 10.8 - Prob. 51HPCh. 10.8 - Prob. 52HPCh. 10.8 - Prob. 53HPCh. 10.8 - Prob. 54HPCh. 10.8 - Prob. 56STPCh. 10.8 - Prob. 58STPCh. 10.8 - Prob. 60SRCh. 10.8 - Prob. 61SRCh. 10.8 - Prob. 62SRCh. 10.8 - Prob. 63SRCh. 10.8 - Prob. 64SRCh. 10.8 - Prob. 65SRCh. 10.8 - Prob. 66SRCh. 10.8 - Prob. 68SCh. 10.8 - Prob. 69SCh. 10.8 - Prob. 70SCh. 10.8 - Prob. 71SCh. 10.8 - Prob. 1CYPCh. 10.8 - Prob. 55HPCh. 10.8 - Prob. 57STPCh. 10.8 - Prob. 59STPCh. 10.8 - Prob. 67SRCh. 10 - Prob. 11QCCh. 10 - Prob. 12QCCh. 10 - Prob. 13QCCh. 10 - Prob. 14QCCh. 10 - Prob. 15QCCh. 10 - Prob. 16QCCh. 10 - Prob. 17QCCh. 10 - Prob. 18QCCh. 10 - Prob. 1QCCh. 10 - Prob. 2QCCh. 10 - Prob. 3QCCh. 10 - Prob. 4QCCh. 10 - Prob. 5QCCh. 10 - Prob. 6QCCh. 10 - Prob. 7QCCh. 10 - Prob. 8QCCh. 10 - Prob. 9QCCh. 10 - Prob. 10QCCh. 10 - Prob. 1MCQCh. 10 - Prob. 2MCQCh. 10 - Prob. 3MCQCh. 10 - Prob. 4MCQCh. 10 - Prob. 5MCQCh. 10 - Prob. 6MCQCh. 10 - Prob. 7MCQCh. 10 - Prob. 8MCQCh. 10 - Prob. 9MCQCh. 10 - Prob. 10MCQCh. 10 - Prob. 11MCQCh. 10 - Prob. 12MCQCh. 10 - Prob. 14MCQCh. 10 - Prob. 15MCQCh. 10 - Prob. 16MCQCh. 10 - Prob. 17MCQCh. 10 - Prob. 18MCQCh. 10 - Prob. 19MCQCh. 10 - Prob. 20MCQCh. 10 - Prob. 21MCQCh. 10 - Prob. 22MCQCh. 10 - Prob. 23MCQCh. 10 - Prob. 24MCQCh. 10 - Prob. 25MCQCh. 10 - Prob. 26MCQCh. 10 - Prob. 27MCQCh. 10 - Prob. 28MCQCh. 10 - Prob. 29MCQCh. 10 - Prob. 1SGRCh. 10 - Prob. 2SGRCh. 10 - Prob. 3SGRCh. 10 - Prob. 4SGRCh. 10 - Prob. 5SGRCh. 10 - Prob. 6SGRCh. 10 - Prob. 7SGRCh. 10 - Prob. 8SGRCh. 10 - Prob. 9SGRCh. 10 - Prob. 10SGRCh. 10 - Prob. 11SGRCh. 10 - Prob. 12SGRCh. 10 - Prob. 13SGRCh. 10 - Prob. 14SGRCh. 10 - Prob. 15SGRCh. 10 - Prob. 16SGRCh. 10 - Prob. 17SGRCh. 10 - Prob. 18SGRCh. 10 - Prob. 19SGRCh. 10 - Prob. 20SGRCh. 10 - Prob. 21SGRCh. 10 - Prob. 22SGRCh. 10 - Prob. 23SGRCh. 10 - Prob. 24SGRCh. 10 - Prob. 25SGRCh. 10 - Prob. 26SGRCh. 10 - Prob. 27SGRCh. 10 - Prob. 28SGRCh. 10 - Prob. 29SGRCh. 10 - Prob. 30SGRCh. 10 - Prob. 31SGRCh. 10 - Prob. 32SGRCh. 10 - Prob. 33SGRCh. 10 - Prob. 34SGRCh. 10 - Prob. 35SGRCh. 10 - Prob. 36SGRCh. 10 - Prob. 37SGRCh. 10 - Prob. 38SGRCh. 10 - Prob. 39SGRCh. 10 - Prob. 40SGRCh. 10 - Prob. 41SGRCh. 10 - Prob. 42SGRCh. 10 - Prob. 43SGRCh. 10 - Prob. 44SGRCh. 10 - Prob. 45SGRCh. 10 - Prob. 46SGRCh. 10 - Prob. 47SGRCh. 10 - Prob. 48SGRCh. 10 - Prob. 49SGRCh. 10 - Prob. 50SGRCh. 10 - Prob. 51SGRCh. 10 - Prob. 52SGRCh. 10 - Prob. 53SGRCh. 10 - Prob. 54SGRCh. 10 - Prob. 55SGRCh. 10 - Prob. 56SGRCh. 10 - Prob. 57SGRCh. 10 - Prob. 58SGRCh. 10 - Prob. 59SGRCh. 10 - Prob. 60SGRCh. 10 - Prob. 61SGRCh. 10 - Prob. 62SGRCh. 10 - Prob. 63SGRCh. 10 - Prob. 64SGRCh. 10 - Prob. 65SGRCh. 10 - Prob. 66SGRCh. 10 - Prob. 67SGRCh. 10 - Prob. 1PTCh. 10 - Prob. 2PTCh. 10 - Prob. 3PTCh. 10 - Prob. 4PTCh. 10 - Prob. 5PTCh. 10 - Prob. 6PTCh. 10 - Prob. 7PTCh. 10 - Prob. 8PTCh. 10 - Prob. 9PTCh. 10 - Prob. 10PTCh. 10 - Prob. 11PTCh. 10 - Prob. 12PTCh. 10 - Prob. 13PTCh. 10 - Prob. 14PTCh. 10 - Prob. 15PTCh. 10 - Prob. 16PTCh. 10 - Prob. 17PTCh. 10 - Prob. 18PTCh. 10 - Prob. 19PTCh. 10 - Prob. 20PTCh. 10 - Prob. 21PTCh. 10 - Prob. 22PTCh. 10 - Prob. 23PTCh. 10 - Prob. 25PTCh. 10 - Prob. 27PTCh. 10 - Prob. 1STPCh. 10 - Prob. 2STPCh. 10 - Prob. 3STPCh. 10 - Prob. 4STPCh. 10 - Prob. 5STPCh. 10 - Prob. 6STPCh. 10 - Prob. 7STPCh. 10 - Prob. 8STPCh. 10 - Prob. 9STPCh. 10 - Prob. 11STPCh. 10 - Prob. 12STPCh. 10 - Prob. 13STPCh. 10 - Prob. 14STPCh. 10 - Prob. 15STPCh. 10 - Prob. 13MCQCh. 10 - Prob. 24PTCh. 10 - Prob. 26PTCh. 10 - Prob. 10STPCh. 10 - Prob. 16STP

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