解答上面的数学题---Here is the extracted content from the image:
**Question Stem:**
某海港南北方向上有两个海岸观测站A, B,距离为10海里,从港口出发的一艘轮船正沿北偏东30°方向匀速航行,某一时刻在观测站A, B两处分别测得此轮船正好航行到南偏东30°和北偏东75°方向上的C处,经过0.5时轮船航行到D处,此时在观测站A处测得轮船在北偏东75°方向上,求轮船航行的速度。(结果精确到0.1海里/时,参考数据:$\sqrt{2} \approx 1.414, \sqrt{3} \approx 1.732$)
**Other Relevant Text:**
* **Precision Requirement:** 结果精确到0.1海里/时 (Result accurate to 0.1 nautical miles/hour)
* **Reference Data:** $\sqrt{2} \approx 1.414, \sqrt{3} \approx 1.732$
**Chart/Diagram Description:**
* **Type:** Geometric/Navigation Diagram.
* **Main Elements:**
* **Points:** Four labeled points: A, B, C, D.
* **Lines:**
* A vertical line passes through points A and B, representing the North-South direction. Point B is below point A. The segment AB represents the distance between the two observation stations. An upward arrow near A indicates the North direction.
* A line segment connects A and C (AC).
* A line segment connects B and C (BC).
* A line segment connects C and D (CD). This represents the path of the ship from C to D.
* A line segment connects A and D (AD).
* Another vertical line passes through point C, also with an upward arrow labeled "北" (North), indicating the North direction from C.
* **Angles and Labels:**
* At point A: The angle between the North direction (upward from A) and the line AD is 75°. The angle between the South direction (downward from A) and the line AC is 30°.
* At point B: The angle between the North direction (upward from B) and the line BC is 75°.
* At point C: The angle between the North direction (upward from C) and the line CD is 30°.
* **Relative Position and Direction:**
* A and B are on a North-South line, with B to the South of A.
* The ship's path from C to D is in the North-East 30° direction.
* From observation station A, point C is in the South-East 30° direction.
* From observation station B, point C is in the North-East 75° direction.
* From observation station A, point D is in the North-East 75° direction.