Solve the Problem $6 \mathrm {~km}$ In the Direction $11 ^ { \circ }$

question 186

Multiple Choice

Solve the problem.
-A bird flies from its nest $6 \mathrm {~km}$ in the direction $11 ^ { \circ }$ north of east, where it stops to rest on a tree. It then flies $9 \mathrm {~km}$ in the direction $38 ^ { \circ }$ south of west and lands atop a telephone pole. With an xy-coordinate system where the origin is the bird's nest, the $x$ -axis points east, and the $y$ -axis points north, at what point is the tree located?

• A) (5.890, 1.145)
• B) (0.02655, -6.000)
• C) (1.145, 5.890)
• D) (0.9816, 0.1908)

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