# Crosswind

A plane is traveling 45 degrees N of E at 320 km/h when it comes across a current from S of E at 115 degrees of 20 km/h. What are the airplane's new course and speed?

## Correct answer:

Tips for related online calculators

Our vector sum calculator can add two vectors given by their magnitudes and by included angle.

Do you want to convert velocity (speed) units?

See also our right triangle calculator.

See also our trigonometric triangle calculator.

Try conversion angle units angle degrees, minutes, seconds, radians, grads.

Do you want to convert velocity (speed) units?

See also our right triangle calculator.

See also our trigonometric triangle calculator.

Try conversion angle units angle degrees, minutes, seconds, radians, grads.

#### You need to know the following knowledge to solve this word math problem:

**geometry**- analytic geometry
- vector
**arithmetic**- square root
- absolute value
- addition
**planimetrics**- Pythagorean theorem
- right triangle
- triangle
**goniometry and trigonometry**- sine
- cosine
- tangent
- arctangent

#### Units of physical quantities:

#### Grade of the word problem:

## Related math problems and questions:

- The temperature 18

The temperature at 12:00 PM was 43°F. Over the course of the day, the temperature decreased by 3.5°F per hour. What was the new temperature at 6:00 PM? - An airplane 2

An airplane left Changi International Airport at 9 p.m. and flew 5841 km to Dubai International Airport. If the airplane flies at an average speed of 649 km/h, what is the plane's arrival time? A) 6 a.m. the same day B) 8 a.m. the same day C) 6 a.m. the n - Minutes 5485

When it flies 106 km in 30 minutes, at what speed does the plane fly? - Two planes

Two planes are flying from airports A and B, 420 km distant from each other. The plane from A took off 15 minutes later and flew at an average speed of 40 km/h higher than the plane from B. Determine the average speed of these two aircraft if you know tha

- Tractor vs car

Behind the tractor, which was traveling at an average speed of 20 km/h, a car started in two hours and overtook it in 1 hour. At what speed was the car moving? - Constant 3376

The plane flies at a speed of 240 km/h and flies a route of 396 km in 3 hours 20 minutes there and back - once it flies with the wind, the second time it flies against the wind, which has a constant speed the whole time. What is the wind speed? - Speed of car

In 2 hours 40 mins, a car travels 100km. At what speed is the car traveling? - Connections 4473

The distance between the two airports is 3480 km. There are regular connections from airport 1. The plane takes off at 6:30 am at an average speed of 600 km/h. From airport two at 7:00 am at a speed of 540 km/h. When will they meet? - Difference 69354

An airplane flies at a speed of 920 km/h at an altitude of 11 km above the surface of the Earth, where the air density is p = 0.36 kg/m³. Determine the pressure difference above and below the plane's wing if the top of the plane is 10% longer than the bot

- Ascent and descent

Car goes 114 km track, which consists of ascent and descent at the time of 1 hour 35 minutes. When climbing, it moves at the speed of 48 km/h and downhill at 25 m/s. What is the length of the climb and descent? - Two airports

Two airports are 2690 km away. From the first airport, the airplane flies at a speed of 600 km/h, and from a second airplane at a speed of 780 km/h. When will they meet if they fly at 10:00? How far from the first airport? - Determine 5673

An airplane flew from city A to city B at a speed of 500 km/h. Fifteen minutes later, an airplane took off from city B to city A at a speed of 450 km/h. After 45 minutes, the planes met. Determine the distance between A and B. - Flying

The airplane from Prague to Bratislava was flying at a speed of 60 km/h less and back by 70 km/h greater than the original speed. What was the original speed if the plane returned to Prague according to the timetable? - Traveling 4836

A passenger car traveling at a speed of 60 km/h arrived from place A to place B one and a half hours earlier than a truck traveling at 40 km/h. How far apart are placed A and B, and how long did the car travel?

- Pilot

How high is the airplane's pilot to see 0.001 of Earth's surface? - Two aircraft

Two planes fly to the airport. At some point, the first airplane is away from the airport by 98 km and the second 138 km. The first aircraft flies at an average speed of 420 km/h, and the second average speed is 360 km/h, while the tracks of both planes a - Tractor

A car traveling at a speed of 70km/h is overtaken by a tractor traveling at 25km/h. The driver of the car needs a toilet and knows that it will take him 3 minutes. How many kilometers does the car have to cover, so the tractor does not overtake it?