Holt Mcdougal Larson Algebra 2: Student Edition 2012
Holt Mcdougal Larson Algebra 2: Student Edition 2012
1st Edition
ISBN: 9780547647159
Author: HOLT MCDOUGAL
Publisher: HOLT MCDOUGAL
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Chapter 3.6, Problem 8MRPS
Solution

The height of the balloon, to the nearest foot, when the distance between the observer and the balloon is 100 feet.

It has been determined that the height of the balloon when the distance between the observer and the balloon is 100 feet is approximately 87 feet.

Given:

A weather balloon is released 50 feet from the observer.

When the balloon is at height h , the distance d between the observer and the balloon is given as d=2500+h2 , where h and d are measured in feet.

Concept used:

The value of d corresponding to a particular value of h , can be determined by plugging in that value into the given equation.

Calculation:

It is given that the height of the balloon is denoted by h feet.

It is given that the distance between the observer and the balloon is denoted by d feet.

Finally, it is given that d=2500+h2 .

Now, when the distance between the observer and the balloon is 100 feet, it follows that d=100 .

Put d=100 in d=2500+h2 to get,

  2500+h2=100

Squaring both sides,

  2500+h2=10000

Subtracting 2500 from both sides,

  h2=7500

Taking positive square root on both sides since height must be positive,

  h=7500

Evaluating,

  h86.602

Rounding off to the nearest foot,

  h87

Thus, the height of the balloon when the distance between the observer and the balloon is 100 feet is approximately 87 feet.

Conclusion:

It has been determined that the height of the balloon when the distance between the observer and the balloon is 100 feet is approximately 87 feet.

Chapter 3 Solutions

Holt Mcdougal Larson Algebra 2: Student Edition 2012

Ch. 3.1 - Prob. 11GPCh. 3.1 - Prob. 12GPCh. 3.1 - Prob. 13GPCh. 3.1 - Prob. 14GPCh. 3.1 - Prob. 15GPCh. 3.1 - Prob. 16GPCh. 3.1 - Prob. 17GPCh. 3.1 - Prob. 18GPCh. 3.1 - Prob. 19GPCh. 3.1 - Prob. 1ECh. 3.1 - Prob. 2ECh. 3.1 - Prob. 3ECh. 3.1 - Prob. 4ECh. 3.1 - Prob. 5ECh. 3.1 - Prob. 6ECh. 3.1 - Prob. 7ECh. 3.1 - Prob. 8ECh. 3.1 - Prob. 9ECh. 3.1 - Prob. 10ECh. 3.1 - Prob. 11ECh. 3.1 - Prob. 12ECh. 3.1 - Prob. 13ECh. 3.1 - Prob. 14ECh. 3.1 - Prob. 15ECh. 3.1 - Prob. 16ECh. 3.1 - Prob. 17ECh. 3.1 - Prob. 18ECh. 3.1 - Prob. 19ECh. 3.1 - Prob. 20ECh. 3.1 - Prob. 21ECh. 3.1 - Prob. 22ECh. 3.1 - Prob. 23ECh. 3.1 - Prob. 24ECh. 3.1 - Prob. 25ECh. 3.1 - Prob. 26ECh. 3.1 - Prob. 27ECh. 3.1 - Prob. 28ECh. 3.1 - Prob. 29ECh. 3.1 - Prob. 30ECh. 3.1 - Prob. 31ECh. 3.1 - Prob. 32ECh. 3.1 - Prob. 33ECh. 3.1 - Prob. 34ECh. 3.1 - Prob. 35ECh. 3.1 - Prob. 36ECh. 3.1 - Prob. 37ECh. 3.1 - Prob. 38ECh. 3.1 - Prob. 39ECh. 3.1 - Prob. 40ECh. 3.1 - Prob. 41ECh. 3.1 - Prob. 42ECh. 3.1 - Prob. 43ECh. 3.1 - Prob. 44ECh. 3.1 - 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