(a) Answer 122.75 miles far from Orlando Explanation Given information: Air Travel: The distance between Miami and Orlando is about 220 miles. A pilot flying from Miami starts the flight 10 ∘ off course to avoid a storm. Calculation: Use the law of cosines to determine the pilot’s distance from Orlando. c = 220 2 − 100 2 − 2 ( 220 ) ( 100 ) cos ( 10 ∘ ) Simplify and solve for the distance c = 122.75 Thus, 122.75 miles far from Orlando (b) To determine How much farther is the flight than a direct route, if the pilot adjusts his course after 100 miles? Answer 2.7 miles farther Explanation Given information: Air Travel: The distance between Miami and Orlando is about 220 miles. A pilot flying from Miami starts the flight 10 ∘ off course to avoid a storm. Calculation: Add the initial distance the pilot flew off course to the distance they were from Orlando at that point (the distance you just solved for). 100 + 122.75 = 222.75 miles Take that sum and subtract the distance of a direct flight from Miami to Orlando. 222.75 − 220 = 2.75 miles Thus, 2.75 miles farther

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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Question

Chapter 5.8, Problem 29E

(a)

To determine

How far is the plane from Orlando, after flying in this direction for 100 miles?

(a)

Expert Solution

Answer to Problem 29E

122.75 miles far from Orlando

Explanation of Solution

Given information: Air Travel: The distance between Miami and Orlando is about 220 miles. A pilot flying from Miami starts the flight 10∘ off course to avoid a storm.

Calculation:

Use the law of cosines to determine the pilot’s distance from Orlando.

c=2202−1002−2(220)(100)cos(10∘)

Simplify and solve for the distance

c=122.75

Thus,

122.75 miles far from Orlando

(b)

To determine

How much farther is the flight than a direct route, if the pilot adjusts his course after 100 miles?

(b)

Expert Solution

Answer to Problem 29E

2.7 miles farther

Explanation of Solution

Given information: Air Travel: The distance between Miami and Orlando is about 220 miles. A pilot flying from Miami starts the flight 10∘ off course to avoid a storm.

Calculation:

Add the initial distance the pilot flew off course to the distance they were from Orlando at that point (the distance you just solved for).

100+122.75=222.75 miles

Take that sum and subtract the distance of a direct flight from Miami to Orlando.

222.75−220=2.75 miles

Thus,

2.75 miles farther

Chapter 5.8, Problem 28E

Chapter 5.8, Problem 30E

Chapter 5 Solutions

Advanced Mathematical Concepts: Precalculus with Applications, Student Edition

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