# Mr. and Mrs. Fisher Peak are the leaders of a foreign educational camp. Mr. Fisher takes her hiking group to a destination of N25 ° W at a speed of 3.3 km / h. Ms. Peak is moving towards a...

Mr. and Mrs. Fisher Peak are the leaders of a foreign educational camp. Mr. Fisher takes her hiking group to a destination of N25 ° W at a speed of 3.3 km / h. Ms. Peak is moving towards a direction of S63 ° W, the group moves at a speed of 4.1 km / h.

The two leaders have two-way radios with a radius of 5 km. How long the group will walk before they lose radio contact?

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When displacement beetween two group will 10km ,they will loss contact.Let O be the rgne from where they have started walking.One group move upto NW and and group move upto SW. The distance between NW and SW is 10 Km. Triangle NW O SW is right angle triangle ,right angle at O.

Thus

`Cos (25)= (ONW)/10`

`ONW=10xx cos(25)=9.06 Km`

one group will move towards N W 9.06 Km.

`Cos(65)=(OSW)/10`

`OSW=10xx cos(65)= 4.23 Km`

Another group will move upto 4.23 Km ,when they will loss contact.