miles Two planes leave an airport at the same time traveling

Two planes leave an airport at the same time traveling in different directions T east. The second plane flies at a constant speed of 135 miles per hour on a trajectory 56 north of due cast How many miles apart are the two planes after & hours Round the nearest bundredth of a mile) The first plane flies at a constant speed of 145 miles per hour on a 13\" south of due miles Preview

Solution

distance covered by plane 1 in 5 hours = 145* 5 = 725 miles / hour

distance covered by plane 2 in 5 hours = 135*5 = 675 miles / hour

angle between 2 planes = 55 + 13 = 68 degrees

applying cosine rule to find the distance

d^2 = 725^2 + 675^2 - 2 ( 725)(675) cos 68

d = 783.97

distance = 783.97 miles