   Chapter 11.3, Problem 47E Elementary Geometry For College St...

7th Edition
Alexander + 2 others
ISBN: 9781337614085

Solutions

Chapter
Section Elementary Geometry For College St...

7th Edition
Alexander + 2 others
ISBN: 9781337614085
Textbook Problem

At an altitude of 12 , 000 ft, a pilot sees two towns through angles of depression of 37 ∘ and 48 ∘ , as shown. To the nearest 10 ft, how far apart are the towns? To determine

The distance between the two town.

Explanation

Given:

At an altitude of 12000 ft. a pilot sees two town through angles of depression of 37and48.

The given figure is shown below:

Calculation:

According to the definition of tangent ratio, tan(mT1)=ABAT1andtan(mT2)=ABAT2

Here, AB=12000.

So,

tan(mT1)=12000AT1AT1=12000tan37=15924

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