Solve the Right Triangle Using the Information Given $a = 3 , c = 8 ;$

question 8

Multiple Choice

Solve the right triangle using the information given. Round answers to two decimal places, if necessary.
- $a = 3 , c = 8 ;$ Find $b , \alpha$ , and $\beta$ .

• A) \(b = 7.42\) \(\alpha = 67.98 ^ { \circ }\) \(\beta = 22.02 ^ { \circ }\)
• B) \(\mathrm { b } = 7.42\) \(\alpha = 22.02 ^ { \circ }\) \(\beta = 67.98 ^ { \circ }\)
• C) \(b = 8.54\) \(\alpha = 23.02 ^ { \circ }\) \(\beta = 66.98 ^ { \circ }\)
• D) \(b = 8.54\) \(\alpha = 22.02 ^ { \circ }\) \(\beta = 67.98 ^ { \circ }\)

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Definitions:

Overjustification Effect

A phenomenon in which being rewarded for doing an activity decreases a person's intrinsic motivation to perform that activity because the external reward overrides internal interest.

Delay Gratification

The ability to resist the temptation for an immediate reward and wait for a later reward.

Externality Hypothesis

A theory suggesting that individuals attribute their own behavior to external factors and circumstances beyond their control.

Homeostasis

The regulatory process by which biological systems tend to maintain stability while adjusting to conditions that are optimal for survival.