Solve the Problem $$T = 55 - 23 \cos \frac { 2 \pi } { 365 } ( t - 30 )$$

question 246

Essay

Solve the problem.
-The average daily temperature T of a city in the United States is approximated by $$T = 55 - 23 \cos \frac { 2 \pi } { 365 } ( t - 30 )$$ where t is in days, $1 \leq t \leq 365$ nd t = 1 corresponds to January 1. For what range of values of t is the average daily
temperature above 70°F? Use a calculator and round answers to the nearest whole number.

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Definitions:

Estimable

Capable of being approximated or determined in value, often referring to an amount or value in accounting.

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A potential financial obligation that may arise in the future depending on the outcome of a specific event.

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Pertaining to work or activities done away from a central office or location, often implying the use of technology to facilitate communication and task completion.

Estimable

The ability to be estimated or quantified, often used in contexts where financial figures or outcomes need to be projected or approximated.