Two people start from the same point. one walks east at 9 mi/h and the other walks northeast at 6 mi/h. how fast is the distance between the people changing after 15 minutes? (round your answer to three decimal places.)

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