EBK PRECALCULUS:GRAPHICAL,...-NASTA ED.
EBK PRECALCULUS:GRAPHICAL,...-NASTA ED.
10th Edition
ISBN: 9780135795910
Author: Demana
Publisher: PEARSON CO
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Chapter P, Problem 82RE
Solution

The horizontal distance the airplane will fly to reach an altitude of 20000 ft above the takeoff point.

  45000 ft

Given:

A commercial jet airplane climbs at takeoff with slope m=49 .

Concept Used:

  • The slope-intercept form of a line is y=mx+b, where m is the slope of the line and b is the y -intercept of the line.
  • Slope of the line passing through the points x1,y1 and x2,y2 is given by m=y2−y1x2−x1
  • The slope of a line is defined as rise over run

Calculation:

Let the horizontal distance that airplane will fly be x .

Let the take off point be at origin 0,  0 , then the terminal point at an altitude of 20000 ft would be x,  20000 .

Since the airplane climbs with slope m=49 , use the slope formula with points 0,  0 and x,  20000 , and simplify further as shown below

  m=y2−y1x2−x149=20000−0x−049=20000xx=20000×94x=45000

Thus, the airplane must fly 45000 ft in the horizontal direction.

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Chapter P, Problem 81RE
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Chapter P, Problem 83RE

Chapter P Solutions

EBK PRECALCULUS:GRAPHICAL,...-NASTA ED.

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