Asked by Brainstorm
solve the mathematics question.Two ships leaves port at the same time,one steaming 5km/hr on a bearing N46E and the other at 9km/hr on a bearing S53E.How far apart are the ships after 2hours.
Answers
Answered by
oobleck
Draw the diagram, and note the angle between the two directions.
distance = speed * time
then use the law of cosines to find the desired distance
distance = speed * time
then use the law of cosines to find the desired distance
Answered by
R_scott
the angle between the two headings is ... 180 - 46 - 53 = 81
the distances traveled after 2 hr are
... 2 h * 5 kph = 10 km
... 2 hr * 9 kph = 18 km
use the law of cosines to find the distance (d) between the ships
d = √{10^2 + 18^2 - [2 * 10 * 18 * cos(81º)]}
the distances traveled after 2 hr are
... 2 h * 5 kph = 10 km
... 2 hr * 9 kph = 18 km
use the law of cosines to find the distance (d) between the ships
d = √{10^2 + 18^2 - [2 * 10 * 18 * cos(81º)]}
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