Answer
(a) $A_{x}=4.3\space m$ , due east
(b) $A_{y}=7.4\space m$ , due south
Work Step by Step
We know one of triangles' angles is $30^{\circ}$, and the length of the hypotenuse is 8.6 m. The sine and cosine functions can be used to find the magnitudes of $x,y$ components.
(a) $A_{x}=Asin30^{\circ}=(8.6\space m)sin30^{\circ}=4.3\space m$ (The direction is due east)
(b) $A_{y}=Acos30^{\circ}=(8.6\space m)cos30^{\circ}=7.4\space m$ (The direction is due south)
