Answer:
The distance between them is 1.594 nearest to 3 decimal places
Step-by-step explanation:
∵ The speed of the first = 9 mi/h
∵ The speed of the second = 6 mi/h
∵ Each one moved foe 15 minutes = 15/60 = 1/4 h
∴ The distance of the first = 9 × 1/4 = 2.25 mi
∴ The distance of the second = 6 × 1/4 = 1.5 mi
∵ The angle between the east and the northeast = 45°
∴ To find the distance between them use cos Rule
∴ d² = (2.25)² + (1.5)² - 2(2.25)(1.5)cos45 =2.539529
∴ d = 1.594 nearest to 3 decimal places
