   Chapter 11.3, Problem 45E ### Elementary Geometry for College St...

6th Edition
Daniel C. Alexander + 1 other
ISBN: 9781285195698

#### Solutions

Chapter
Section ### Elementary Geometry for College St...

6th Edition
Daniel C. Alexander + 1 other
ISBN: 9781285195698
Textbook Problem
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# 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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