Final answer:
To find the coordinates of point G, one must understand congruent triangles and apply vector addition, along with trigonometry, to determine the resulting vector's magnitude and direction.
Step-by-step explanation:
Based on the provided information, we are required to calculate the coordinates of point G using the principles of congruent triangles and vector addition. The problem states that the triangles GFC, AHD, and the two shaded triangles HKD, and KFD are congruent. It also provides the dimensions of vectors A, B, and F, and their respective angles with the horizontal for calculating the vector G. Since congruent triangles have equal corresponding sides and angles, we can use this property to determine distances and relationships between points in the problem. Vector addition and subtraction are used along with trigonometry in finding the resultant vector G and its angle.
For the calculation of the coordinates of point G in a vector context, we would typically break down each vector A, B, and F into their horizontal and vertical components using their magnitudes and direction angles. After finding the components, the vectors are added or subtracted accordingly to find the resulting vector G. The magnitude and direction of vector G are then computed from the resulting components.