Answer:
Step-by-step explanation:
Use the slope formula:
where m = slope
Given the coordinates
(-4, 4) ---> this means x1 = -4 , y1 = 4
(2, -5) ---> this means x2 = 2 , y2 = -5
Substitute these values into the slope formula:
Two boats leave the same port at the same time. One travels at a speed of 28 mi/h in the direction N 50° E, and the other travel
s at a speed of 26 mi/h in a direction S 70° E (see the figure). How far apart are the two boats after 1 h? (Round your answer to the nearest mile.)
1 answer:
Answer:
27 miles
Step-by-step explanation:
The law of cosines can be used to find the distance between the boats. In 1 hour, one has traveled 28 miles, and the other has traveled 26 miles. The angle between their directions of travel is ...
180° -50° -70° = 60°
Then the distance c can be found from ...
c^2 = a^2 +b^2 -2ab·cos(C)
c^2 = 28^2 +26^2 -2·28·26·cos(60°) = 732
c = √732 ≈ 27.055
The boats are 27 miles apart after 1 hour.
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