Resolve a displacement of 700 cm into two components along direction lines that lie on opposite sides of the displacement and each of which makes an angle of 30° with the displacement.
What is 700*cos30?
To resolve a displacement into two components along directions that lie on opposite sides and make an angle with the displacement, you can use basic trigonometry.
Given:
Displacement (d) = 700 cm
Angle (θ) = 30°
To find the components, we can use the following trigonometric formulas:
Component along the direction line = d * cos(θ)
Component perpendicular to the direction line = d * sin(θ)
Let's calculate the components:
Component along the direction line:
component_along = 700 cm * cos(30°)
component_along = 700 cm * (√3/2)
component_along ≈ 1207.10 cm
Component perpendicular to the direction line:
component_perpendicular = 700 cm * sin(30°)
component_perpendicular = 700 cm * (1/2)
component_perpendicular = 350 cm
Therefore, the displacement of 700 cm can be resolved into two components:
- A component along the direction line ≈ 1207.10 cm
- A component perpendicular to the direction line = 350 cm.