Find the x and y components of

A displacement 200km at 34

if the angle θ is measured counterclockwise from the +x axis, then the components are

x = r cosθ
y = r sinθ

where r is the magnitude of the directed quantity.

To find the x and y components of a displacement, we need the angle it makes with the x-axis. In this case, we are given the angle of 34°.

The x-component can be found using the formula: x = displacement * cos(angle)
x = 200 km * cos(34°)
x ≈ 166.10 km (rounded to two decimal places)

The y-component can be found using the formula: y = displacement * sin(angle)
y = 200 km * sin(34°)
y ≈ 107.69 km (rounded to two decimal places)

Therefore, the x-component is approximately 166.10 km, and the y-component is approximately 107.69 km.

To find the x and y components of a displacement, we need to know the angle that the displacement makes with the x-axis. In this case, the angle is given as 34 degrees.

The x-component of a displacement is given by the formula: x = displacement * cos(angle)
And the y-component of a displacement is given by the formula: y = displacement * sin(angle)

Given:
Displacement = 200 km
Angle = 34 degrees

Now we can calculate the x and y components:

x = 200 km * cos(34 degrees)
y = 200 km * sin(34 degrees)

To evaluate these trigonometric functions, we need to convert the angle to radians because most programming languages and calculators use radians instead of degrees.
To convert degrees to radians, we use the formula: 1 radian = π/180 degrees

x = 200 km * cos(34 degrees * π/180)
y = 200 km * sin(34 degrees * π/180)

Let's calculate these values using the approximate value of π (pi) as 3.14159.

x ≈ 200 km * cos(34 degrees * 3.14159 / 180)
y ≈ 200 km * sin(34 degrees * 3.14159 / 180)

Plugging these values into a calculator or using a programming language to evaluate the trigonometric functions will give us the x and y components of the displacement.