if your plane is flying 25° north of east at the speed of 820 kg per hour how fast is it moving to the north?
V = 820*sin25 =
To find out how fast the plane is moving to the north, we need to break down the motion into its north and east components.
Given that the plane is flying at an angle of 25° north of east, we can imagine a right triangle with the northward component being the vertical side and the eastward component being the horizontal side.
The northward component can be determined using trigonometric functions. The angle of 25° forms the opposite side (northward component) of the triangle, while the hypotenuse represents the total speed. We can use the sine function to calculate the northward component:
sin(25°) = (northward component) / (total speed)
Now, we need to solve for the northward component. Rearranging the equation, we have:
(northward component) = sin(25°) * (total speed)
Given that the total speed is 820 km/h, we can substitute that value into the equation:
(northward component) = sin(25°) * 820 km/h
Calculating the value, we find:
(northward component) ≈ 0.4226 * 820 km/h
Therefore, the plane is moving at approximately 346.59 km/h to the north.