Describe the vector as an ordered pair. round the coordinates to the nearest tenth. the diagram is not drawn to scale.

The components of the vector with magnitude 54 and the angle of 69° from the horizontal can be written as <19.3519, 50.4133>.

A vector is a quantity that has both magnitude and direction. It has two components a vertical component(Sine) and a horizontal component(Cosine). The component of a vector can be written as,

Vertical component,

Horizontal component,

We know that a vector can be divided into two components a horizontal component and a vertical component, therefore, the vector components can be written as,

Hence, the components of the vector with magnitude 54 and the angle of 69° from the horizontal can be written as <19.3519, 50.4133>.

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ANSWER

EXPLANATION

The given vector has magnitude 54 units.

The vector is making an angle of 69° with the x-axis.

The horizontal component of the vector is

To the nearest tenth, we have,

The vertical component is

to the nearest tenth.

The required vector is

a² + b²= c²

24² + 7² = c²

c= 25