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M. Math

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M. Math

Math for pilots


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Reciprocal heading of 042° 222° 232° 242°.
Reciprocal heading of 056° 236° 146° 246°.
Reciprocal heading of 350° 160° 170° 035°.
Reciprocal heading of 287° 234° 106° 107°.
Calculate the speed that an aircraft will start hydroplaning based on a tire pressure of 40 psi 57kts 45kts 52kts.
The temperature/dewpoint at an airport is 66°/60°F. Calculate the equivalent centigrade temperatures and estimate the bases of the cloud layer. 19°/16° with an estimated cloud base at 1200ft AGL 19°/16° with an estimated cloud base at 1200ft MSL.
At South Lake Tahoe Airport, with an airport elevation of 6,262' MSL, the altimeter setting is 29.73 in Hg. (QNH). What is the pressure altitude? 6,452ft 7,452ft 5,452ft.
At FL220, the outside air temperature indicates -30°F. What is the temperature deviation from ISA? -10°C -7°C -5°C.
You are descending from FL280 for landing and forgot to reset your altimeter to 30.11 in Hg. (QNH). What will your altimeter read after landing at the airport? 190' high at the airport 190' low at the airport No difference .
For landing on runway 34, the tower reported winds are 030/20. What is the crosswind component and estimated drift angle with an approach true airspeed of 120 knots? 14kts crosswind with 7° drift angle 18kts crosswind with 5° drift angle 15kts crosswinf with 7°drift angle.
As your aircraft crosses directly over the LAX VOR at FL180, what DME will you indicate? 6 DME The same DME indication 3 DME.
For a daytime VFR flight, how many gallons of AVGAS are required for a flight time of 3+20? Your C-182 fuel burn is approximately 10gph at 8,000 MSL cruise altitude (Dont forget the 30 minutes reserve) 30 gallons 38.3 gallons 33.3 gallons.
For a nighttime IFR flight, how many gallons of JET A is required for a flight time of 4+10? The time to the alternate is 0+25 Fuel flow in the Learjet is 900 pph at FL330 850 gallons 350 gallons 798 gallons.
After take off in your B727, you have an engine failure and must return for landing. You now have 45,000 pounds of fuel on board, but can only have 17,500 pounds of fuel to ot exceed maximun landing weight. At a fuel dump rate of 2,500ppm how long will it take you to dump fuel for landing? 5 minutes 1 minute 11 minutes.
How much total fuel will you dump in 13 minutes at a rate of 1,100ppm? 12,000lbs 14,300lbs 11,100lbs.
On the VOR 23L approach plate for ABC airport, there is a 20 DME arc transition form the ABC 355/20 (Yellow) to the ABC 052/20 (Green). What is the distance along the arc from Yellow to Green? 10 nautical miles 19 nautical miles 6 nautical miles.
When flying the same 23L transition, how many degrees "lead" would you need to start the turn from the arc to the final approach course of 232°, using a standard rate turn at 180 knots 3 lead radials 5 lead radials 7 lead radials.
With a 225 KTAS and a 45 knot tailwind, how far will you travel in 12 minutes? 45 nautical miles 54 nautical miles 40 nautical miles.
If you travel 300NM in 90 minutes, what is your ground speed? 200 knots 2000 knots 300 knots.
You are cruising at FL220 and 280 KIAS and have been cleared to descend pilot's discretion, to 8,000' MSL by 8DME past the next VOR. How far out would you start your descent? 34nm prior to the VOR 50nm prior to the VOR 10nm prior to the VOR.
You have been cleared for the visual approach for landing at Bakersfield (Airport elevation of 507' MSL). For a normal glidepath, what should your altitude be at 6NM from the threshold of the runway? 2,307ft 3,333ft 1,333ft.
The KMRT airport ILS Rwy 04 glideslope is NOTAMed out of service. Thus you will need to fly the LOC (GS Out) with a MDA of 1,760' (427') There is a colocated DME with the ILS frequency. The FAF is indicated by 5.9. The missed approach points is at the runway threshold identified by D1.4. In addition, with a ground speed of 150 knots, the timing on the approach is 1:48. If we assume that the ceiling and visibility is adequate to plan on seeing the runway environment from the MDA. What is your calculated PDP for the approach? 2.8DME or 1:05 timing from the FAF 3.5DME or 1:00 timing from the FAF 5.9DME or 1:48 timing from the FAF.
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