Vector Analysis in Aviation

The video tutorial explains how to solve a problem involving an airplane needing to fly due north while facing a wind blowing from the southwest at 60 km/h. The plane's airspeed is 500 km/h, and the goal is to determine the angle west of north the pilot must fly to maintain a northward path. The solution involves using vectors to represent the plane's path and the wind's direction, calculating the components of these vectors, and solving trigonometric equations to find the necessary angle. The tutorial concludes with the pilot needing to fly approximately 4.87 degrees west of north.

What is the main challenge the airplane faces in flying due north?

• The airplane's engine is malfunctioning.

• There is a wind blowing from the southwest.

• The navigation system is broken.

• The airplane is low on fuel.

What is the purpose of using vectors in this problem?

• To determine the airplane's altitude.

• To calculate the airplane's fuel consumption.

• To find the correct path the airplane must take.

• To measure the airplane's speed.

Which vector represents the wind in this scenario?

• The green vector

• The yellow vector

• The blue vector

• The red vector

What is the magnitude of the plane's vector?

• 60 km per hour

• 500 km per hour

• 45 km per hour

• 90 km per hour

What angle is used to model the wind's direction?

• 90 degrees

• 45 degrees

• 60 degrees

• 30 degrees

What is the relationship between Theta and Alpha?

• Alpha is twice Theta.

• Alpha is half of Theta.

• Alpha is Theta plus 90 degrees.

• Alpha is Theta minus 90 degrees.

What must the sum of the X components of vectors P and W equal?

• 90

• 500

• 60

• Zero

What trigonometric function is used to solve for Theta?

• Tangent

• Cotangent

• Cosine

• Sine

What is the approximate value of Theta found using the calculator?

• 90 degrees

• 60 degrees

• 45 degrees

• 94.8 degrees

How many degrees west of north must the pilot fly?

• 10 degrees

• 4.86 degrees

• 15 degrees

• 5.5 degrees