Problema Solution
Mr.Fisher and Ms.Peak are leaders at an outdoors education camp. Mr.Fisher takes his group on a heading of N25degreesW at a speed of 3.3km/h. Ms.Peak heads out at a direction of S63degreesW; her group is hiking at a speed of 4.1km/h
The two leaders are carrying two-way radios with a rage of 5km. How long will the group hike before they lose contact?
Answer provided by our tutors
Solution: set the time used is T, the angle formed between Mr.Fisher's direction with the Westen direction is 90-25=65° , the Ms Peak's angle is 90-63=27° the length between the them is 5km,
Use the Trigonometric Function, so Sin65 x 3.3T + Sin27 x 4.1T=5
so T = 1.04, it will take 1.04hour before they lose contact.