Operation Grinch
Our forces have joined with the Grinch to once again try to steal Christmas by foiling Santa’s merry plans. We plan to hijack Santa’s sleigh, steal his reindeer and toys, and finally capture St. Nick himself. We will rendezvous at 1223 hours on December 23rd at Mount Crumpet. Your mission, should you choose to accept it, will be to then depart in a hot air balloon at a bearing of N 20 degrees E for 200 miles and fly to Santa’s sleigh repair shop, where his reindeer and sleigh are gearing up for the next night's delivery. You will then land the hot air balloon at the repair shop. Once you have secured the sleigh and reindeer, you will fly them on a bearing of N 35 degrees W for 40 miles to Santa’s magical workshop. After kidnapping Kris Kringle and his toys, you will fly back to Mount Crumpet to destroy the toys and force Santa, reindeer, and elves into early retirement.
The Mission
1. Find distance back from Santa's Magical Workshop to Mount Crumpet
2. Solve all angles of triangle
3. Find bearing back from Santa's Magical Workshop to Mount Crumpet
4. Solve fuel needed for hot air balloon flight-will you use your reserved fuel?
5. Will you accept this mission?
Hot Air Balloon
Flight airspeed- 80 mph
Flight fuel burned based on conditions and weather- 15 gallons of propane/hour
Fuel on board at take-off- 25 gallons of propane
Usable fuel on board for flight- 37 gallons of propane
Hot air balloon will continue with wind until it hits the ground
Santa's Sleigh
Reindeer will be sufficiently fed for flight
Sled will have all necessary repairs
Weather Forecast
Snow Flurries
Temperature: -30 degrees F
Winds are out of the S at 5 mph
Visibility is unlimited
Threat
Armed elves guarding the workshop and the sleigh repair shop
Santa’s armed body guards
Mrs. Clause armed with a rolling pin
Santa’s helpers armed with their tools
No air threat on the mission
Home Graphics of Mission Solution: Calculations of Mission