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Two boats leave a place at the same time...

Two boats leave a place at the same time. One travels 56 km in the direction N `40^@` E, while the other travels 48 km in the direction S `80^@` E. What is the distance between the boats?

Text Solution

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Given,
One travels `56` km in the direction N `40^@` E,
while the other travels `48` km in the direction S `80^@` E.
let OA and OB be the two side of the traingle
and C be the angle between them,
So,
Formula used
Distance=`sqrt((OA)^2+(OB)^2-2OAOBcosC)`
...
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Knowledge Check

  • Two cars leave the same place at the same time. One runs at 20 km/ hr towards north and the other at 15 km/hr towards east. What will be the distance between them (in km) after 2 hours of travelling?

    A
    25
    B
    50
    C
    70
    D
    10

  • The speed of a boat in a river is 20 km/h and the speed of another boat is 23 km/h. They travel in the same direction from the same place at the same time. The distance between the boats after three and half hours is

    A
    11.5 km
    B
    10 km
    C
    10.5 km
    D
    11 km

  • The speed of the boat in still water is 24 kmph and the speed of the stream is 4 km/h .The time taken by the boat to travel from A to B downstream is 36 minutes less than the time taken by the same boat to travel from B to C upstream .If the distance between A and B is 4 km more than the distance between B and C , what is the distance between A and B ?

    A
    `112` km
    B
    `140` km
    C
    `56` km
    D
    `84` km
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