(a) Answer 37.1 feet Explanation Given information: Aviation: When a 757 passenger jet begins its descent to the Ronal Reagan International Airport in Washington, D.C., it is 3900 feet from the ground. Its angle of descent is 6 ∘ . Calculation: Calculate the tan ( 6 ∘ ) tan ( 6 ∘ ) = 3900 Ground distance → Ground distnace = 3900 tan ( 6 ∘ ) Ground distance = 37.1 feet (b) To determine How far must the plane fly to reach the runway ? Answer 37310.4 feet Explanation Given information: Aviation: When a 757 passenger jet begins its descent to the Ronal Reagan International Airport in Washington, D.C., it is 3900 feet from the ground. Its angle of descent is 6 ∘ . Calculation: Calculate the sin ( 6 ∘ ) sin ( 6 ∘ ) = 3900 distance traveled → distnace traveled = 3900 sin ( 6 ∘ ) distance traveled = 37310.4 feet

Advanced Mathematical Concepts: Precalculus with Applications, Student Edition

1st Edition

ISBN: 9780078682278

Author: McGraw-Hill, Berchie Holliday

Publisher: Glencoe/McGraw-Hill

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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.

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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

Chapter 5.4, Problem 26E

(a)

To determine

What is the plane’s ground distance to the airport?

(a)

Expert Solution

Answer to Problem 26E

37.1 feet

Explanation of Solution

Given information: Aviation: When a 757 passenger jet begins its descent to the Ronal Reagan International Airport in Washington, D.C., it is 3900 feet from the ground. Its angle of descent is 6∘ .

Advanced Mathematical Concepts: Precalculus with Applications, Student Edition, Chapter 5.4, Problem 26E , additional homework tip 1

Calculation:

Advanced Mathematical Concepts: Precalculus with Applications, Student Edition, Chapter 5.4, Problem 26E , additional homework tip 2

Calculate the tan(6∘)

tan(6∘)=3900Ground distance→Ground distnace=3900tan(6∘)Ground distance=37.1 feet

(b)

To determine

How far must the plane fly to reach the runway ?

(b)

Expert Solution

Answer to Problem 26E

37310.4 feet

Explanation of Solution

Advanced Mathematical Concepts: Precalculus with Applications, Student Edition, Chapter 5.4, Problem 26E , additional homework tip 3

Calculation:

Advanced Mathematical Concepts: Precalculus with Applications, Student Edition, Chapter 5.4, Problem 26E , additional homework tip 4

Calculate the sin(6∘)

sin(6∘)=3900distance traveled→distnace traveled=3900sin(6∘)distance traveled=37310.4 feet

Chapter 5.4, Problem 25E

Chapter 5.4, Problem 27E

Chapter 5 Solutions

Advanced Mathematical Concepts: Precalculus with Applications, Student Edition

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