Find the Inclination $\theta$ (In Radians and Degrees) of the Line $3 x - 6 y - 11 = 0$

question 421

Multiple Choice

Find the inclination $\theta$ (in radians and degrees) of the line.Round your answer to four decimal places for radians and round your answer to one decimal places for degree. $3 x - 6 y - 11 = 0$

• A) \(\Theta \approx 0.2450 \text { radians } \approx 15.0 ^ { \circ }\)
• B) \(\theta \approx 0.2450 \text { radians } \approx 14.0 ^ { \circ }\)
• C) \(\theta \approx 0.2450 \text { radians } \approx 13.0 ^ { \circ }\)
• D) \(\theta \approx 0.2450 \text { radians } \approx 16.0 ^ { \circ }\)
• E) \(\theta \approx 0.2450 \text { radians } \approx 12.0 ^ { \circ }\)

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Definitions:

Deductive Reasoning

A logical process in which a conclusion is based on the concordance of multiple premises that are generally assumed to be true.

Inductive Method

A reasoning method where several assumptions, considered true or mostly true, are merged to derive a particular outcome.

Hawthorne Effect

A phenomenon in which individuals modify an aspect of their behavior in response to their awareness of being observed.

Observational Effect

The impact that observation can have on the behavior of subjects being studied, often related to the phenomenon of subjects altering their behavior because they are aware they are being observed.