WorksheetsAviation Math - REVISION - CHAP4 - Lesson 4.6
Total questions: 30
Worksheet time: 15mins
If the True Heading is 145° and the Magnetic Heading is 137°, then:
Variation equals 8 degrees
Deviation equals 8 degrees
Inclination equals 8 degrees
None of the above
An aircraft is flying with a True Heading of 210° and a Magnetic Heading of 202°. What is the magnetic variation?
8°
18°
Deviation equals 8 degrees
None of the above
If an aircraft’s Magnetic Heading is 095°, and its True Heading is 100°, what is the variation?
15°
5°
Deviation equals 5 degrees
None of the above
If the Magnetic Heading of an aircraft is 280° and the True Heading is 270°, what is the magnetic variation?
1°
10°
Deviation equals 10 degrees
None of the above
Using the Bearing Shortcut Rule: θ = tan⁻¹((AB sin θ1 + BC sin θ2) / (AB cos θ1 + BC cos θ2)) Where θ is the total bearing angle, AB is the distance from A to B, BC is the distance from B to C, θ1 is the angle from A to B, θ2 is the angle from B to C.
An aircraft departs from Point X on a bearing of 045° towards Point Y, which is 250 km away. At Point Y, it changes course to Point Z, which is 180 km away, on a new bearing of 080°. Find the total bearing from X to Z.
59.6°
52.3°
75.0°
68.9°
Using the Bearing Shortcut Rule and the formula for difference in bearing: α = θ - θ1 Where α is the angle difference in bearing, θ is the total bearing angle, θ1 is the angle from A to B.
An aircraft departs from Point X on a bearing of 045° towards Point Y, which is 250 km away. At Point Y, it changes course to Point Z, which is 180 km away, on a new bearing of 080°. Find: the difference in bearing between the original course (X to Y) and the total bearing from X to Z.
14.6°
25.0°
10.2°
35.8°
Using the Bearing Shortcut Rule: θ = tan⁻¹((AB sin θ1 + BC sin θ2) / (AB cos θ1 + BC cos θ2))
Where θ is the total bearing angle, AB is the distance from A to B, BC is the distance from B to C, θ1 is the angle from A to B, θ2 is the angle from B to C.
A helicopter departs from Point A on a bearing of 30° towards Point B (400 km away). At B, it turns towards Point C (275 km away) on a new bearing of 40°. Find the total bearing from A to C. (Give your answer in degrees.)
34.1°
28.4°
45.2°
38.9°
A ship leaves Point M on a bearing of 20° towards Point N, which is 320 km away. Upon reaching N, it changes course to Point P (190 km away) on a new bearing of 60°. What is the total bearing from M to P?
44.1°
83.5°
34.7°
10.4°
An aircraft sets off from A on a bearing of 070° towards B (800 km) away. At B it changes course towards C (4000 km) away on 080°. What is the difference in bearing between the bearing from A to C and the one from A to B?
8.3°
5.2°
15°
148.3°
MM Bearing: An aircraft sets off from A on a bearing of 045° towards B (300 km) away. At B it changes course towards C (300 km) away on 060°. Find the bearing from A to C. Given: (Sin 45 = 0.707, Cos 45 = 0.707, Sin 60 = 0.866, Cos 60 = 0.5, Inverse tan (1.3032) = 52.5, Inverse tan (0.76732) = 37.5, inverse tan (0.89) = 41.6, sin 52.5 = 0.7933, cos 52.5 = 0.60876, tan 52.5 = 1.3032, sin 37.5 = 0.6087, cos 37.5 = 0.7933).
A. 37.5 degrees
B. 45 degrees
C. 52.5 degrees
D. None of the above
If a crosswind is strong enough it may exceed an aircraft's crosswind limit and an attempt to land under such conditions could cause structural damage to the aircraft's undercarriage.
True
False
In aeronautics, a headwind is favorable in takeoffs and landings because an airfoil moving into a headwind can generate greater lift.
True
False
While flying in the final approach you have been cleared to land on runway 30. The wind speed and direction were 30kts at 300. Find the crosswind component.
No crosswind component
15.00 kts
10.00 kts
5.00 kts
While flying in the final approach you have been cleared to land on runway 12. The wind speed and direction were 20kts at 30°. Find the crosswind component.
20 kts
10 kts
12.5 kts
8.66 kts
While flying in the final approach you have been cleared to land on runway 20. The wind speed and direction were 30kts at 155°. Find the crosswind component.
21.2 kts
24.1 kts
10.5 kts
5.3 kts
Find out the crosswind component if your heading is 010 and the wind speed and direction is 50 knots from 40°.
25 kts
15 kts
45 kts
50 kts
Find out the crosswind component if your heading is 010 and the wind speed and direction is 50 knots from 190°.
No crosswind component
25 kts
35 kts
10 kts
A pilot flying an aircraft that has a limitation of maximum crosswind of 17 Knots while landing. If the ATC told the pilot that he is cleared to land on runway 12 with a wind direction of 045 and wind speed of 20 knots. Can the pilot proceed to land? Why?
Yes, because the crosswind component is less than the limitation for the aircraft.
Yes, because there is no crosswind.
No, because the crosswind is higher than the aircraft limitations.
No, because there is no crosswind.
A pilot flying an aircraft that has a limitation of maximum crosswind of 20 Knots while landing. If the ATC told the pilot that he is cleared to land on runway 34 with the wind direction of 340 and wind speed of 30 knots. Can the pilot proceed to land? Why?
Yes, because all wind is crosswind.
Yes, because the crosswind is less than the aircraft limitations.
No, because the wind is from the tail.
None of the answers is correct.
What is the crosswind component of the wind (50 knots, 085°) if your heading was 330°?
55.7 kts
45.3 kts
50 knots.
None of the answers is correct.
Find out the HEADWIND component if your heading is 010 and the wind speed and direction is 50 knots from 340.
43.3 knots.
45 knots.
25 knots.
None of the answers is correct.
When the difference between my heading and the wind direction is 90 degrees then ____________.
All wind is tailwind.
All wind is headwind.
All wind is crosswind.
None of the answers is correct.
You are 3 NM from the runway on a 3° glideslope. What is your approximate height above ground?
600 ft
900 ft
1200 ft
1500 ft
At 5 NM from touchdown, what is your estimated height on a 3° glideslope?
1000 ft
1200 ft
1500 ft
3000 ft
On a 3° glideslope, how high are you at 8 NM?
1800 ft
2100 ft
2400 ft
3000 ft
You are descending on a 3° glideslope from 2100 ft. How many NM are you from the runway?
5 NM
6 NM
7 NM
8 NM
If you're 2 NM off course after flying 60 NM, what was your heading error?
1°
2°
3°
4°
You are 3 NM off track after flying 30 NM. Approximate heading error?
2°
4°
6°
8°
You’re 2° off course. After 90 NM, how far off the track are you?
2 NM
3 NM
6 NM
8 NM
You're 4 NM off track after flying 80 NM. What’s your approximate heading error?
2°
3°
4°
5°
