Vector V Has the Given Magnitude and Direction $\theta$ Is the
Direction Angle of V from the Horizontal

question 419

Multiple Choice

Vector v has the given magnitude and direction. Find the horizontal or vertical component of v, as indicated, if $\theta$ is the
direction angle of v from the horizontal. Round to the nearest tenth when necessary.
- $\alpha = 28.6 ^ { \circ } , | \mathbf { v } | = 411 ;$ Find the vertical component of $\mathbf { v }$

• A) \(164.2\)
• B) \(196.7\)
• C) \(360.9\)
• D) \(557.6\)

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Definitions:

Planning Budget

A budget that outlines the expected revenues, expenditures, and resources over a specific period, serving as a financial roadmap for the organization.

Variable Cost

Costs that change in proportion to the level of activity or production volume of a company.

Materials Quantity Variance

The difference between the actual quantity of materials used in production and the expected quantity, multiplied by the standard cost per unit.

Actual Usage

The real amount of resources consumed or utilized in the production of goods or provision of services.