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 inthe direction due southeast and lands atop a telephone pole. Placean xy-coordinate system so that the origin is the bird’s nest, thex-axis points east, and the y-axis points north. 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 68E
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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. At what point is the telephone pole?

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