Location A bird flies from its nest 5 km in the direction 60° north of east, where it stops to rest on a tree. It then flies 10 km in the direction due southeast and lands atop a telephone pole. Place an xy-coordinate system so that the origin is the bird's nest, the x-axis points east, and the y-axis points north. a. At what point is the tree located? b. At what point is the telephone pole?

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter11: Topics From Analytic Geometry
Section11.2: Ellipses
Problem 67E
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47. Location A bird flies from its nest 5 km in the direction 60°
north of east, where it stops to rest on a tree. It then flies 10 km in
the direction due southeast and lands atop a telephone pole. Place
an xy-coordinate system so that the origin is the bird's nest, the
x-axis points east, and the y-axis points north.
a. At what point is the tree located?
b. At what point is the telephone pole?
Transcribed Image Text:47. Location A bird flies from its nest 5 km in the direction 60° north of east, where it stops to rest on a tree. It then flies 10 km in the direction due southeast and lands atop a telephone pole. Place an xy-coordinate system so that the origin is the bird's nest, the x-axis points east, and the y-axis points north. a. At what point is the tree located? b. At what point is the telephone pole?
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