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.
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?
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?