   Chapter 5.CR, Problem 41CR 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

An observation aircraft flying at a height of 12 km had detected a Brazilian ship at a distance of 20km from the aircraft and in line with an American ship is 13 km from the aircraft. How far apart are the U.S and Brazilian Ships? To determine

To find:

The distance that apart are the U.S and Brazilian ships.

Explanation

Given:

Aircraft flying at a height of 12 km and Brazilian ship at a distance of 20 km from aircraft.

Calculation:

Let us name A, B, C and D for aircraft, height of aircraft from water, American ship and Brazilian ship.

That is,

Let us first take the triangle ΔABC

By Pythagoras theorem,

AC2=AB2+BC2132=122+BC2169144=BC2BC2=25BC=25BC=5 km

Second, consider the triangle ΔABD

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