Final answer:
House C is in the direction of 150° from house B because house A and house C are aligned east-west, and house B to house C makes an angle of 150°.
Step-by-step explanation:
The student is asking about directions and angles in relation to positions of different houses, which involves geometry and vector analysis. Specifically, if house A is due east of house C, and the mosquito moves from house B to house C in the direction of 150°, we must interpret this based on standard directional bearings where 0° or 360° is due north, 90° is due east, 180° is due south, and 270° is due west. Knowing that house A and C are aligned east-west, and given the movement from B to C, house C must be situated such that the angle from house B to house C is complementary to the angle from B to A. As we know house C is 150° from house B, and we need to find the direction with respect to the east-west line, we calculate 180° - 150° = 30°. So house C is 30° north of east from house B, which corresponds to a bearing of 150° from house B. The correct answer to the student's question is therefore B) 150°.