Find the Angle $\theta$ (In Radians and Degrees) Between the Lines $$\begin{array} { l } 4 x - 4 y = 4 \\5 x + 4 y = 7\end{array}$$

question 384

Multiple Choice

Find the angle $\theta$ (in radians and degrees) between the lines.Round your answer to four decimal places for radians and round your answer to one decimal places for degree. $$\begin{array} { l } 4 x - 4 y = 4 \\5 x + 4 y = 7\end{array}$$

• A) \(\Theta \approx 1.4601 \text { radians } \approx 83.7 ^ { \circ }\)
• B) \(\Theta \approx 1.4601 \text { radians } \approx 82.7 ^ { \circ }\)
• C) \(\Theta \approx 1.4601 \text { radians } \approx 84.7 ^ { \circ }\)
• D) \(\Theta \approx 1.4601 \text { radians } \approx 85.7 ^ { \circ }\)
• E) \(\Theta \approx 1.4601 \text { radians } \approx 81.7 ^ { \circ }\)

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Definitions:

Vestibular Sense

The awareness of the balance, position, and movement of the head and body through space in relation to gravity’s pull.

Equilibrium

A state of physical balance or a stable situation in which all forces are equal.

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The minimum distance at which two points of contact can be felt as two distinct stimuli.

Gestalt

A concept in psychology that emphasizes the idea that the whole of anything is greater than its parts, focusing on patterns and configurations in perceiving objects.