A tailwind is a wind that blows in the direction of travel of an object, while a headwind blows against the direction of travel. Conversely, tailwinds are bad on take-off and landing, but are good in flight. In sailing, a headwind may make forward movement difficult, and necessitate tacking into the wind.

Calculation

1. Crosswind speed = wind speed * sin ( α )
2. Headwind speed (or tailwind) = wind speed * cos ( α )

A tailwind in finance refers to a certain situation or condition that may lead to higher profits, revenue, or growth. Tailwind is a nautical term used in the aviation industry. A tailwind is a wind pushing the tail (rear end) of the plane, increasing its speed and helping it go faster.

Now use elimination to solve the system of equations.

1. Step 1: Make sure the equations have opposite x terms or opposite y terms.
2. Step 2: Add to eliminate one variable and solve for the other.
3. Step 3: Plug the result of Step 2 into one of the original equations and solve.
4. Step 4: State the solution.

Steps For Solving Real World Problems

1. Highlight the important information in the problem that will help write two equations.
2. Define your variables.
3. Write two equations.
4. Use one of the methods for solving systems of equations to solve.
5. Check your answers by substituting your ordered pair into the original equations.

Upstream and Downstream – Formula

1. Upstream = (u−v) km/hr, where “u” is the speed of the boat in still water and “v” is the speed of the stream.
2. Downstream = (u+v)Km/hr, where “u” is the speed of the boat in still water and “v” is the speed of the stream.
3. Speed of Boat in Still Water = ½ (Downstream Speed + Upstream Speed)

In this case, the drift is minimum if →vb=→vb/w+→vw v → b = v → b / w + v → w is perpendicular to →vb/w v → b / w . The angle made by →vb/w v → b / w with →vw v → w is given by θ=cos−1−vb/wvw=cos−1−12=150degree.