BuyFind

Precalculus: Mathematics for Calcu...

6th Edition
Stewart + 5 others
Publisher: Cengage Learning
ISBN: 9780840068071
BuyFind

Precalculus: Mathematics for Calcu...

6th Edition
Stewart + 5 others
Publisher: Cengage Learning
ISBN: 9780840068071

Solutions

Chapter 2.1, Problem 72E

a.

To determine

To find the maximum distance from top of a building at height h using the function D(h)=2rh+h2 .

Expert Solution

Answer to Problem 72E

The distance value from top of a building at height h=0.1 is D(0.1)=28.1427miles and h=0.2 is D(0.2)=39.8miles .

Explanation of Solution

Given: Distance equation D(h)=2rh+h2 and r=3960mi .

Plug r=3960 in D(h)=2rh+h2

  D(h)=2(3960)h+h2D(h)=7920h+h2

Calculation:

Plug h=0.1 and h=0.2 in D(h)=7920h+h2

  D(0.1)=7920(0.1)+(0.1)2D(0.1)=28.1427miles

  D(0.2)=7920(0.2)+(0.2)2D(0.2)=39.8miles

Thus, the distance value from top of a building at height h=0.1 is D(0.1)=28.1427miles and h=0.2 is D(0.2)=39.8miles .

b.

To determine

To observe the distance at 1135ft above the ground.

Expert Solution

Answer to Problem 72E

The distance from the deck of Toronto’s CN tower 1135ft above the ground is D(0.215)=41.262miles .

Explanation of Solution

Given: Height above the ground at 1135ft .

Let 1 ft equals to 0.000189394miles .Then

  1135ft equals to:

  1135(0.000189394)=0.215miles

Calculation:

Plug h=0.215 in D(h)=7920h+h2

  D(0.215)=7920(0.215)+(0.215)2D(0.215)=41.262miles

Thus, the distance from the deck of Toronto’s CN tower 1135ft above the ground is D(0.215)=41.262miles .

c.

To determine

Find the distance that pilot can see from commercial aircraft fly at an altitude of about 7 miles.

Expert Solution

Answer to Problem 72E

the distance that pilot can see from commercial aircraft fly at an altitude of about 7 miles is D(7)=235.56miles .

Explanation of Solution

Given: Altitude value at

  7miles .

Calculation:

Plug h=7 in D(h)=7920h+h2

  D(7)=7920(7)+(7)2         =235.56miles

Hence, the distance that pilot can see from commercial aircraft fly at an altitude of about 7 miles is D(7)=235.56miles .

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