Columbia river
Description of the problem
While patrolling the Columbia River basin area. A Coast Guard helicopter (a
twin-engine MH-60T) located at Point G had just flown out and picked up a
gravely ill seaman on a cargo container ship and had to then meet another
helicopter on a flight path along line FE to pick up an injured hiker, the
helicopter was then bound for OHSU hospital in Portland.
Finding the Shortest distance
Question 1
What point should the first helicopter fly to meet the second if it is going to intercept the shortest distance along the second helicopters flight path?
Question 2
How far is it (in miles) to that point of intersection if every grid line is 5/3 of a mile?
Question 3
If the fuel capacity is 6300 lbs. of fuel and the consumption rate is 7.3 lbs./mile. Will it have enough fuel to safely ferry its passengers to OHSU hospital which is 95 miles away?
3 a.
If yes then how much fuel will be left in lbs.?
3 b.
If no then how much more fuel will it need?