Answer: Asmita is currently located about 6.4 km northeast of her home.
Step-by-step explanation: Asmita started from her home and went to her friend's house located 5 km northeast from her home. Then she traveled to her maternal uncle's house, which is located 4 km away from her friend's house.
To determine the direction and distance of Asmita's current location from her home, we need to combine these two displacements. One way to do this is to use vector addition.
If we draw a diagram with her home as the origin, we can represent the first displacement (from her home to her friend's house) as a vector pointing 5 km northeast. We can represent the second displacement (from her friend's house to her maternal uncle's house) as a vector pointing 4 km east.
To find the total displacement, we add these two vectors using vector addition. The resulting vector points northeast but is longer than the first vector (5 km) because it includes the second displacement (4 km). Using trigonometry, we can calculate that the length of the resulting vector is approximately 6.4 km.
Therefore, Asmita is currently located about 6.4 km northeast of her home.