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?
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.
`Cos (25)= (ONW)/10`
`ONW=10xx cos(25)=9.06 Km`
one group will move towards N W 9.06 Km.
`OSW=10xx cos(65)= 4.23 Km`
Another group will move upto 4.23 Km ,when they will loss contact.