A bird flies 25.0 m in the direction 55° east of south to its nest on a cliff. The bird then flies 75.0 m in the direction 55° west of north to the top of a tree. What are the northward and westward components of the resultant displacement of the bird from its nest? northward westward
A)29 m 41 m
B)41 m 29 m
C)35 m 35 m
D)81 m 57 m
E)57 m 81 m

Question

Quizplus · Accepted Answer

The northward component is the sum of the northward components of the two displacements:$$25.0 \sin 55^\circ + 75.0 \sin 55^\circ = 29.0 	ext{ m}$$The westward component is the sum of the westward components of the two displacements:$$25.0 \cos 55^\circ + 75.0 \cos 55^\circ = 41.0 	ext{ m}$$

A Bird Flies 25