BIG IDEAS MATH Algebra 2: Common Core Student Edition 2015
BIG IDEAS MATH Algebra 2: Common Core Student Edition 2015
15th Edition
ISBN: 9781608408405
Author: HOUGHTON MIFFLIN HARCOURT
Publisher: Cengage Learning
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Concept explainers

Rate of Change
The relation between two quantities which displays how much greater one quantity is than another is called ratio.
Slope
The change in the vertical distances is known as the rise and the change in the horizontal distances is known as the run. So, the rise divided by run is nothing but a slope value. It is calculated with simple algebraic equations as:
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Chapter 9.1, Problem 44E
To determine

To find: The height of the incline.

Expert Solution & Answer
Check Mark

Answer to Problem 44E

The approximate height of the incline is 462 meters.

Explanation of Solution

Given information:

Line 1: Angle of elevation = 300 .

Line 2: Length of the track is 800 feet..

Line 3: Estimated angle is 80o .

Calculation:

The height of the incline is h meters, the distance between the track and the incline is 800 feet .

The angle of the elevation is 300 .

The objective is to find the height of the incline.

The visual representation of the data is :

  BIG IDEAS MATH Algebra 2: Common Core Student Edition 2015, Chapter 9.1, Problem 44E

Write an equation and solve to get the height h .

  tan800=Opposite sideAdjacent side=h800

Multiply both side by 800 .

  800tan300=hh=800*0.5774=461.92

Therefore, the approximate height of the incline is 462 meters.

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Chapter 9.1, Problem 43E
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Chapter 9.1, Problem 45E

Chapter 9 Solutions

BIG IDEAS MATH Algebra 2: Common Core Student Edition 2015

Ch. 9.1 - Prob. 1ECh. 9.1 - Prob. 2ECh. 9.1 - Prob. 3ECh. 9.1 - Prob. 4ECh. 9.1 - Prob. 5ECh. 9.1 - Prob. 6ECh. 9.1 - Prob. 7ECh. 9.1 - Prob. 8ECh. 9.1 - Prob. 9ECh. 9.1 - Prob. 10E
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