The Mathematics of navigation

Question 1

Sine =

Answer 1

Opposite / Hypotenuse

Question 2

Cosine =

Answer 2

Adjacent / Hypotenuse

Question 3

Tangent =

Answer 3

Opposite / Adjacent

Question 4

The inverse of sine, cosine and tangent is?

Answer 4

Cosecant, secant and cotangent.

Question 5

The inverse of sine is?

Answer 5

Cosecant

Question 6

Cosecant =

Answer 6

Hypotenuse / Opposite

Question 7

Secant =

Answer 7

hypotenuse / adjacent

Question 8

Cotangent =

Answer 8

Adjacent / Opposite

Question 9

The inverse of Cosine is?

Answer 9

Secant

Question 10

All the angles of a triangle add up to?

Answer 10

180

Question 11

One in sixty rule:

Track Error(TE) =

Answer 11

distance off / distance flown x 60

Question 12

One in sixty rule:

After flying for 135nm an aircraft is 9nm left of track. The track error is:

IF the aircraft now alters heading it will only parallel the original track. If the track error is doubled then theoretically the aircraft would regain the track. However, this would only work if the aircraft is less than halfway. A second one in sixty rule calculation is therefore required, which must be added to the original track error. The formula now becomes:

Answer 12

Track error(TE) = Distance off / distance flown x 60

= 4

(Distance off / Distance flown x 60) + (Distance off / Distance to go x 60)