A hot air balloon exert an 800-lb pull on a tether line at a 60-degree angle with the horizontal. Reolve the vector into horizontal and vertical component

Respuesta :

Using Vector Decomposition in vertical and horizontal axis, The Horizontal component is 400-lb and Vertical component is 692.82-lb.

What do you mean by vector?

An item with both magnitude and direction is referred to be a vector. A vector can be visualized geometrically as a directed line segment, with an arrow pointing in the direction and a length equal to the magnitude of the vector. The vector points in a direction from its tail to its head.

What is the formula for vertical and horizontal component of vector?

The required formulas are:

Horizontal Component = [tex]A \cos \alpha[/tex]

Vertical Component = [tex]A \sin \alpha[/tex]

pull(A) = 800 -lb

[tex]\alpha = 60^{o}[/tex]

Horizontal Component = 800 * cos60

= 400-lb

Vertical Component = 800 * sin60

= 692.82-lb

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