High School Math 2015 Common Core Algebra 1 Student Edition Grade 8/9
High School Math 2015 Common Core Algebra 1 Student Edition Grade 8/9
15th Edition
ISBN: 9780133281149
Author: Prentice Hall
Publisher: Prentice Hall
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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 10.6, Problem 43PPE

a.

To determine

If the angle of depression of a plan to the start of an airport runway is 1° and the plane is an altitude of 30000 ft above from the ground then find the distance between the plane and runway.

a.

Expert Solution
Check Mark

Answer to Problem 43PPE

The distance between the plane and runway is 1718960.654 ft .

Explanation of Solution

Given information: It is given that the plane is at an altitude of 30000 ft from the ground and the angle of depression of plane with the runway is 1° .

Calculation: The possible diagram for the given conditions is shown as in which the angle of depression is 1° at position of point A where the plane is moving and the runway is at point (C). If the altitude (AB) of plane from the ground is 30000 ft, then in triangle ABC by trigonometric ratios,

  High School Math 2015 Common Core Algebra 1 Student Edition Grade 8/9, Chapter 10.6, Problem 43PPE

  sin1=ABACor, sin1=30000ACAC=30000sin1AC=1718960.654 ft ....(1)

Hence the distance between the plane and runway is 1718960.654 ft .

b.

To determine

If the angle of depression of a plan to the start of an airport runway is 1° and the plane is an altitude of 30000 ft above from the ground then find the distance between the plane and runway in approximate miles.

b.

Expert Solution
Check Mark

Answer to Problem 43PPE

The distance between the plane and runway is 325.56 miles .

Explanation of Solution

Given information: It is given that the plane is at an altitude of 30000 ft from the ground and the angle of depression of plane with the runway is 1° .

Calculation: From (1) the distance (AC) between the plane and runway is 1718960.654 ft . Therefore convert the distance into miles as,

  AC=(1718960.654)(15280) ....(1 ft=15280 miles)AC=325.56 miles

Hence the distance between the plane and runway is 325.56 miles .

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Chapter 10.6, Problem 42PPE
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Chapter 10.6, Problem 44PPE

Chapter 10 Solutions

High School Math 2015 Common Core Algebra 1 Student Edition Grade 8/9

Ch. 10.1 - Prob. 1PCh. 10.1 - Prob. 2PCh. 10.1 - Prob. 3PCh. 10.1 - Prob. 1LCCh. 10.1 - Prob. 2LCCh. 10.1 - Prob. 3LCCh. 10.1 - Prob. 4LCCh. 10.1 - Prob. 5LCCh. 10.1 - Prob. 6PPECh. 10.1 - Prob. 7PPE
Ch. 10.1 - Prob. 8PPECh. 10.1 - Prob. 9PPECh. 10.1 - Prob. 10PPECh. 10.1 - Prob. 11PPECh. 10.1 - Prob. 12PPECh. 10.1 - Prob. 13PPECh. 10.1 - Prob. 14PPECh. 10.1 - Prob. 15PPECh. 10.1 - Prob. 16PPECh. 10.1 - Prob. 17PPECh. 10.1 - Prob. 18PPECh. 10.1 - Prob. 19PPECh. 10.1 - Prob. 20PPECh. 10.1 - Prob. 21PPECh. 10.1 - Prob. 22PPECh. 10.1 - Prob. 23PPECh. 10.1 - Prob. 24PPECh. 10.1 - Prob. 25PPECh. 10.1 - Prob. 26PPECh. 10.1 - Prob. 27PPECh. 10.1 - Prob. 28PPECh. 10.1 - Prob. 29PPECh. 10.1 - Prob. 30PPECh. 10.1 - Prob. 31PPECh. 10.1 - Prob. 32PPECh. 10.1 - Prob. 33PPECh. 10.1 - Prob. 34PPECh. 10.1 - Prob. 35PPECh. 10.1 - Prob. 36PPECh. 10.1 - Prob. 37PPECh. 10.1 - Prob. 38PPECh. 10.1 - Prob. 39PPECh. 10.1 - Prob. 40PPECh. 10.1 - Prob. 41PPECh. 10.1 - Prob. 42PPECh. 10.1 - Prob. 1MPCh. 10.2 - Prob. 1PCh. 10.2 - Prob. 2PCh. 10.2 - Prob. 3PCh. 10.2 - Prob. 4PCh. 10.2 - Prob. 5PCh. 10.2 - Prob. 6PCh. 10.2 - Prob. 1LCCh. 10.2 - Prob. 2LCCh. 10.2 - Prob. 3LCCh. 10.2 - Prob. 4LCCh. 10.2 - Prob. 5LCCh. 10.2 - Prob. 6LCCh. 10.2 - Prob. 7LCCh. 10.2 - Prob. 8LCCh. 10.2 - Prob. 9LCCh. 10.2 - Prob. 10PPECh. 10.2 - Prob. 11PPECh. 10.2 - Prob. 12PPECh. 10.2 - Prob. 13PPECh. 10.2 - Prob. 14PPECh. 10.2 - Prob. 15PPECh. 10.2 - Prob. 16PPECh. 10.2 - Prob. 17PPECh. 10.2 - Prob. 18PPECh. 10.2 - Prob. 19PPECh. 10.2 - Prob. 20PPECh. 10.2 - Prob. 21PPECh. 10.2 - Prob. 22PPECh. 10.2 - Prob. 23PPECh. 10.2 - Prob. 24PPECh. 10.2 - Prob. 25PPECh. 10.2 - Prob. 26PPECh. 10.2 - Prob. 27PPECh. 10.2 - Prob. 28PPECh. 10.2 - Prob. 29PPECh. 10.2 - Prob. 30PPECh. 10.2 - Prob. 31PPECh. 10.2 - Prob. 32PPECh. 10.2 - Prob. 33PPECh. 10.2 - Prob. 34PPECh. 10.2 - Prob. 35PPECh. 10.2 - Prob. 36PPECh. 10.2 - Prob. 37PPECh. 10.2 - Prob. 38PPECh. 10.2 - Prob. 39PPECh. 10.2 - Prob. 40PPECh. 10.2 - Prob. 41PPECh. 10.2 - Prob. 42PPECh. 10.2 - Prob. 43PPECh. 10.2 - Prob. 44PPECh. 10.2 - Prob. 45PPECh. 10.2 - Prob. 46PPECh. 10.2 - Prob. 47PPECh. 10.2 - Prob. 48PPECh. 10.2 - Prob. 49PPECh. 10.2 - Prob. 50PPECh. 10.2 - Prob. 51PPECh. 10.2 - Prob. 52PPECh. 10.2 - Prob. 53PPECh. 10.2 - Prob. 54PPECh. 10.2 - Prob. 55PPECh. 10.2 - Prob. 56PPECh. 10.2 - Prob. 57PPECh. 10.2 - Prob. 58PPECh. 10.2 - Prob. 59PPECh. 10.2 - Prob. 60PPECh. 10.2 - Prob. 61PPECh. 10.2 - Prob. 62PPECh. 10.2 - Prob. 63PPECh. 10.2 - Prob. 64PPECh. 10.2 - Prob. 65PPECh. 10.2 - Prob. 66PPECh. 10.2 - Prob. 67PPECh. 10.2 - Prob. 68PPECh. 10.2 - Prob. 69PPECh. 10.2 - Prob. 70PPECh. 10.2 - Prob. 71PPECh. 10.2 - Prob. 72PPECh. 10.2 - Prob. 73PPECh. 10.2 - Prob. 74PPECh. 10.2 - Prob. 75PPECh. 10.2 - Prob. 76PPECh. 10.2 - Prob. 77PPECh. 10.2 - Prob. 78PPECh. 10.2 - Prob. 1MPCh. 10.3 - Prob. 1PCh. 10.3 - Prob. 2PCh. 10.3 - Prob. 3PCh. 10.3 - Prob. 4PCh. 10.3 - Prob. 5PCh. 10.3 - Prob. 1LCCh. 10.3 - Prob. 2LCCh. 10.3 - Prob. 3LCCh. 10.3 - Prob. 4LCCh. 10.3 - Prob. 5LCCh. 10.3 - Prob. 6LCCh. 10.3 - Prob. 7LCCh. 10.3 - Prob. 8LCCh. 10.3 - Prob. 9PPECh. 10.3 - Prob. 10PPECh. 10.3 - Prob. 11PPECh. 10.3 - Prob. 12PPECh. 10.3 - Prob. 13PPECh. 10.3 - Prob. 14PPECh. 10.3 - Prob. 15PPECh. 10.3 - Prob. 16PPECh. 10.3 - Prob. 17PPECh. 10.3 - Prob. 18PPECh. 10.3 - Prob. 19PPECh. 10.3 - Prob. 20PPECh. 10.3 - Prob. 21PPECh. 10.3 - Prob. 22PPECh. 10.3 - Prob. 23PPECh. 10.3 - Prob. 24PPECh. 10.3 - Prob. 25PPECh. 10.3 - Prob. 26PPECh. 10.3 - Prob. 27PPECh. 10.3 - Prob. 28PPECh. 10.3 - Prob. 29PPECh. 10.3 - Prob. 30PPECh. 10.3 - Prob. 31PPECh. 10.3 - Prob. 32PPECh. 10.3 - Prob. 33PPECh. 10.3 - Prob. 34PPECh. 10.3 - Prob. 35PPECh. 10.3 - Prob. 36PPECh. 10.3 - Prob. 37PPECh. 10.3 - Prob. 38PPECh. 10.3 - Prob. 39PPECh. 10.3 - Prob. 40PPECh. 10.3 - Prob. 41PPECh. 10.3 - Prob. 42PPECh. 10.3 - Prob. 43PPECh. 10.3 - Prob. 44PPECh. 10.3 - Prob. 45PPECh. 10.3 - Prob. 46PPECh. 10.3 - Prob. 47PPECh. 10.3 - Prob. 48PPECh. 10.3 - Prob. 49PPECh. 10.3 - Prob. 50PPECh. 10.3 - Prob. 51PPECh. 10.3 - Prob. 52PPECh. 10.3 - Prob. 53PPECh. 10.3 - Prob. 54PPECh. 10.3 - Prob. 55PPECh. 10.3 - Prob. 56PPECh. 10.3 - Prob. 57PPECh. 10.3 - Prob. 58PPECh. 10.3 - Prob. 59PPECh. 10.3 - Prob. 60PPECh. 10.3 - Prob. 61PPECh. 10.3 - Prob. 62PPECh. 10.3 - Prob. 63PPECh. 10.3 - Prob. 64STPCh. 10.3 - Prob. 65STPCh. 10.3 - Prob. 66STPCh. 10.3 - Prob. 67STPCh. 10.3 - Prob. 68MRCh. 10.3 - Prob. 69MRCh. 10.3 - Prob. 70MRCh. 10.3 - Prob. 71MRCh. 10.3 - Prob. 72MRCh. 10.3 - Prob. 73MRCh. 10.3 - Prob. 74MRCh. 10.3 - Prob. 75MRCh. 10.3 - Prob. 76MRCh. 10.3 - Prob. 77MRCh. 10.3 - Prob. 78MRCh. 10.3 - Prob. 79MRCh. 10.3 - Prob. 80MRCh. 10.3 - Prob. 81MRCh. 10.3 - Prob. 1MCQCh. 10.3 - Prob. 2MCQCh. 10.3 - Prob. 3MCQCh. 10.3 - Prob. 4MCQCh. 10.3 - Prob. 5MCQCh. 10.3 - Prob. 6MCQCh. 10.3 - Prob. 7MCQCh. 10.3 - Prob. 8MCQCh. 10.3 - Prob. 9MCQCh. 10.3 - Prob. 10MCQCh. 10.3 - Prob. 11MCQCh. 10.3 - Prob. 12MCQCh. 10.3 - Prob. 13MCQCh. 10.3 - Prob. 14MCQCh. 10.3 - Prob. 15MCQCh. 10.3 - Prob. 16MCQCh. 10.3 - Prob. 17MCQCh. 10.3 - Prob. 18MCQCh. 10.3 - Prob. 19MCQCh. 10.3 - Prob. 20MCQCh. 10.3 - Prob. 21MCQCh. 10.3 - Prob. 22MCQCh. 10.3 - Prob. 23MCQCh. 10.3 - Prob. 24MCQCh. 10.3 - Prob. 25MCQCh. 10.3 - Prob. 26MCQCh. 10.3 - Prob. 27MCQCh. 10.3 - Prob. 28MCQCh. 10.3 - Prob. 29MCQCh. 10.3 - Prob. 30MCQCh. 10.3 - Prob. 31MCQCh. 10.3 - Prob. 32MCQCh. 10.3 - Prob. 33MCQCh. 10.3 - Prob. 34MCQCh. 10.3 - Prob. 35MCQCh. 10.3 - Prob. 36MCQCh. 10.4 - Prob. 1PCh. 10.4 - Prob. 2PCh. 10.4 - Prob. 3PCh. 10.4 - Prob. 4PCh. 10.4 - Prob. 5PCh. 10.4 - Prob. 1LCCh. 10.4 - Prob. 2LCCh. 10.4 - Prob. 3LCCh. 10.4 - Prob. 4LCCh. 10.4 - Prob. 5LCCh. 10.4 - Prob. 6LCCh. 10.4 - Prob. 7PPECh. 10.4 - Prob. 8PPECh. 10.4 - Prob. 9PPECh. 10.4 - Prob. 10PPECh. 10.4 - Prob. 11PPECh. 10.4 - Prob. 12PPECh. 10.4 - Prob. 13PPECh. 10.4 - Prob. 14PPECh. 10.4 - Prob. 15PPECh. 10.4 - Prob. 16PPECh. 10.4 - Prob. 17PPECh. 10.4 - Prob. 18PPECh. 10.4 - Prob. 19PPECh. 10.4 - Prob. 20PPECh. 10.4 - Prob. 21PPECh. 10.4 - Prob. 22PPECh. 10.4 - Prob. 23PPECh. 10.4 - Prob. 24PPECh. 10.4 - Prob. 25PPECh. 10.4 - Prob. 26PPECh. 10.4 - Prob. 27PPECh. 10.4 - Prob. 28PPECh. 10.4 - Prob. 29PPECh. 10.4 - Prob. 30PPECh. 10.4 - Prob. 31PPECh. 10.4 - Prob. 32PPECh. 10.4 - Prob. 33PPECh. 10.4 - Prob. 34PPECh. 10.4 - Prob. 35PPECh. 10.4 - Prob. 36PPECh. 10.4 - Prob. 37PPECh. 10.4 - Prob. 38PPECh. 10.4 - Prob. 39PPECh. 10.4 - Prob. 40PPECh. 10.4 - Prob. 41PPECh. 10.4 - Prob. 42PPECh. 10.4 - Prob. 43PPECh. 10.4 - Prob. 44PPECh. 10.4 - Prob. 45PPECh. 10.4 - Prob. 46PPECh. 10.4 - Prob. 47PPECh. 10.4 - Prob. 48PPECh. 10.4 - Prob. 49PPECh. 10.4 - Prob. 50PPECh. 10.4 - Prob. 51PPECh. 10.4 - Prob. 52PPECh. 10.4 - Prob. 53STPCh. 10.4 - Prob. 54STPCh. 10.4 - Prob. 55STPCh. 10.4 - Prob. 56STPCh. 10.4 - Prob. 57MRCh. 10.4 - Prob. 58MRCh. 10.4 - Prob. 59MRCh. 10.4 - Prob. 60MRCh. 10.4 - Prob. 61MRCh. 10.4 - Prob. 62MRCh. 10.4 - Prob. 63MRCh. 10.4 - Prob. 64MRCh. 10.4 - Prob. 65MRCh. 10.5 - Prob. 1PCh. 10.5 - Prob. 2PCh. 10.5 - Prob. 3PCh. 10.5 - Prob. 4PCh. 10.5 - Prob. 1LCCh. 10.5 - Prob. 2LCCh. 10.5 - Prob. 3LCCh. 10.5 - Prob. 4LCCh. 10.5 - Prob. 5LCCh. 10.5 - Prob. 6LCCh. 10.5 - Prob. 7PPECh. 10.5 - Prob. 8PPECh. 10.5 - Prob. 9PPECh. 10.5 - Prob. 10PPECh. 10.5 - Prob. 11PPECh. 10.5 - Prob. 12PPECh. 10.5 - Prob. 13PPECh. 10.5 - Prob. 14PPECh. 10.5 - Prob. 15PPECh. 10.5 - Prob. 16PPECh. 10.5 - Prob. 17PPECh. 10.5 - Prob. 18PPECh. 10.5 - Prob. 19PPECh. 10.5 - Prob. 20PPECh. 10.5 - Prob. 21PPECh. 10.5 - Prob. 22PPECh. 10.5 - Prob. 23PPECh. 10.5 - Prob. 24PPECh. 10.5 - Prob. 25PPECh. 10.5 - Prob. 26PPECh. 10.5 - Prob. 27PPECh. 10.5 - Prob. 28PPECh. 10.5 - Prob. 29PPECh. 10.5 - Prob. 30PPECh. 10.5 - Prob. 31PPECh. 10.5 - Prob. 32PPECh. 10.5 - Prob. 33PPECh. 10.5 - Prob. 34PPECh. 10.5 - Prob. 35PPECh. 10.5 - Prob. 36PPECh. 10.5 - Prob. 37PPECh. 10.5 - Prob. 38PPECh. 10.5 - Prob. 39PPECh. 10.5 - Prob. 40PPECh. 10.5 - Prob. 41PPECh. 10.5 - Prob. 42PPECh. 10.5 - Prob. 43PPECh. 10.5 - Prob. 44PPECh. 10.5 - Prob. 45PPECh. 10.5 - Prob. 46PPECh. 10.5 - Prob. 47PPECh. 10.5 - Prob. 48PPECh. 10.5 - Prob. 49PPECh. 10.5 - Prob. 50PPECh. 10.5 - Prob. 51PPECh. 10.5 - Prob. 52PPECh. 10.5 - Prob. 53PPECh. 10.5 - Prob. 54PPECh. 10.5 - Prob. 55PPECh. 10.5 - Prob. 56PPECh. 10.5 - Prob. 57PPECh. 10.5 - Prob. 58PPECh. 10.5 - Prob. 59PPECh. 10.5 - Prob. 60PPECh. 10.5 - Prob. 61PPECh. 10.5 - Prob. 62PPECh. 10.5 - Prob. 63PPECh. 10.5 - Prob. 1MPCh. 10.6 - Prob. 1PCh. 10.6 - Prob. 2PCh. 10.6 - Prob. 3PCh. 10.6 - Prob. 4PCh. 10.6 - Prob. 5PCh. 10.6 - Prob. 1LCCh. 10.6 - Prob. 2LCCh. 10.6 - Prob. 3LCCh. 10.6 - Prob. 4LCCh. 10.6 - Prob. 5LCCh. 10.6 - Prob. 6LCCh. 10.6 - Prob. 7LCCh. 10.6 - Prob. 8PPECh. 10.6 - Prob. 9PPECh. 10.6 - Prob. 10PPECh. 10.6 - Prob. 11PPECh. 10.6 - Prob. 12PPECh. 10.6 - Prob. 13PPECh. 10.6 - Prob. 14PPECh. 10.6 - Prob. 15PPECh. 10.6 - Prob. 16PPECh. 10.6 - Prob. 17PPECh. 10.6 - Prob. 18PPECh. 10.6 - Prob. 19PPECh. 10.6 - Prob. 20PPECh. 10.6 - Prob. 21PPECh. 10.6 - Prob. 22PPECh. 10.6 - Prob. 23PPECh. 10.6 - Prob. 24PPECh. 10.6 - Prob. 25PPECh. 10.6 - Prob. 26PPECh. 10.6 - Prob. 27PPECh. 10.6 - Prob. 28PPECh. 10.6 - Prob. 29PPECh. 10.6 - Prob. 30PPECh. 10.6 - Prob. 31PPECh. 10.6 - Prob. 32PPECh. 10.6 - Prob. 33PPECh. 10.6 - Prob. 34PPECh. 10.6 - Prob. 35PPECh. 10.6 - Prob. 36PPECh. 10.6 - Prob. 37PPECh. 10.6 - Prob. 38PPECh. 10.6 - Prob. 39PPECh. 10.6 - Prob. 40PPECh. 10.6 - Prob. 41PPECh. 10.6 - Prob. 42PPECh. 10.6 - Prob. 43PPECh. 10.6 - Prob. 44PPECh. 10.6 - Prob. 45PPECh. 10.6 - Prob. 46PPECh. 10.6 - Prob. 47PPECh. 10.6 - Prob. 48STPCh. 10.6 - Prob. 49STPCh. 10.6 - Prob. 50STPCh. 10.6 - Prob. 51STPCh. 10.6 - Prob. 52MRCh. 10.6 - Prob. 53MRCh. 10.6 - Prob. 54MRCh. 10.6 - Prob. 55MRCh. 10.6 - Prob. 56MRCh. 10.6 - Prob. 57MRCh. 10.6 - Prob. 58MRCh. 10.6 - Prob. 59MRCh. 10.6 - Prob. 60MRCh. 10.6 - Prob. 61MRCh. 10 - Prob. 1GRCh. 10 - Prob. 2GRCh. 10 - Prob. 3GRCh. 10 - Prob. 4GRCh. 10 - Prob. 5GRCh. 10 - Prob. 6GRCh. 10 - Prob. 7GRCh. 10 - Prob. 8GRCh. 10 - Prob. 9GRCh. 10 - Prob. 10GRCh. 10 - Prob. 11GRCh. 10 - Prob. 12GRCh. 10 - Prob. 13GRCh. 10 - Prob. 14GRCh. 10 - Prob. 15GRCh. 10 - Prob. 16GRCh. 10 - Prob. 17GRCh. 10 - Prob. 18GRCh. 10 - Prob. 19GRCh. 10 - Prob. 20GRCh. 10 - Prob. 21GRCh. 10 - Prob. 22GRCh. 10 - Prob. 1CRCh. 10 - Prob. 2CRCh. 10 - 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