Two boats leave the same part at the same time. One boat travels at a speed of 34 mi/h in the direction of N 75° E and the other travels at a speed of 22 mi/h in the direction S 5° E. How far apart are the boats after 2 hours? Give your answer to two decimal places.

Guest May 8, 2015

#2**+10 **

The boat that is traveling 34 mi/h will travel 68 miles in 2 hours.

The boat that is travelind 22 mi/h will travel 44 miles in 2 hours.

The angle between is 100°.

The distance between them is the third side of a triangle. Use the law of cosines:

c² = a² + b² - 2·a·b·cos(C)

c² = 68² + 44² - 2·68·44·cos(100)

Can you finish it from here?

geno3141 May 9, 2015

#2**+10 **

Best Answer

The boat that is traveling 34 mi/h will travel 68 miles in 2 hours.

The boat that is travelind 22 mi/h will travel 44 miles in 2 hours.

The angle between is 100°.

The distance between them is the third side of a triangle. Use the law of cosines:

c² = a² + b² - 2·a·b·cos(C)

c² = 68² + 44² - 2·68·44·cos(100)

Can you finish it from here?

geno3141 May 9, 2015