Suppose ABC Is a Right Triangle with Sides of Lengths $\cos \mathrm { A }$

question 84

Multiple Choice

Suppose ABC is a right triangle with sides of lengths a, b, and c and right angle at C. Find the unknown side length using
the Pythagorean theorem and then find the value of the indicated trigonometric function of the given angle. Rationalize
the denominator if applicable.
-Find $\cos \mathrm { A }$ when $\mathrm { a } = \sqrt { 6 }$ and $\mathrm { c } = 12$

• A) \(\frac { 1 } { 2 }\)
• B) \(\frac { \sqrt { 6 } } { 12 }\)
• C) 23
• D) \(\frac { \sqrt { 138 } } { 12 }\)

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Definitions:

Completeness

In decision theory, a property that states every set of choices can be ranked in an order of preference.

Marginal Rate

Typically refers to the additional cost or benefit received from producing one more unit of a good or service.

Indifference Curve

A graph that shows combinations of goods between which a consumer is indifferent, meaning they derive the same level of satisfaction from each combination.

Preferences

Individual tastes or desires that influence choice behavior, guiding decisions in the face of scarcity.