Suppose ABC Is a Right Triangle with Sides of Length $\tan \mathrm { A }$

question 126

Multiple Choice

Suppose ABC is a right triangle with sides of length a, b, and c and right angle at C. Find the exact value of the indicated
trigonometric function. You may need to use the Pythagorean theorem to find the unknown side length. Rationalize the
denominator if necessary.
-Find $\tan \mathrm { A }$ when $\mathrm { a } = 2$ and $\mathrm { b } = 7$ .

• A) \(\frac { 7 \sqrt { 53 } } { 53 }\)
• B) \(\frac { 7 } { 2 }\)
• C) \(\frac { 2 } { 7 }\)
• D) \(\frac { 2 \sqrt { 53 } } { 53 }\)

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Definitions:

Intervening Variable

An intervening variable is a hypothetical concept that explains the relationship between the independent (causal) and dependent (effect) variables in an experiment.

Political Affiliation

An individual's or group's association with a particular political party or ideology.

Political Orientation

Describes an individual's or group's predisposition towards certain political ideologies, parties, or policies.

Independent Variable

A variable in an experiment or model that is manipulated to observe its effect on a dependent variable, being the cause in a cause-and-effect relationship.