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Solve the Problem D=24[1cos1(tanitanθ)π]\mathrm { D } = 24 \left[ 1 - \frac { \cos ^ { - 1 } ( \tan i \tan \theta ) } { \pi } \right]

question 25

Short Answer

Solve the problem.
-The formula
D=24[1cos1(tanitanθ)π]\mathrm { D } = 24 \left[ 1 - \frac { \cos ^ { - 1 } ( \tan i \tan \theta ) } { \pi } \right]
can be used to approximate the number of hours of daylight when the declination of the sun is ii ^ { \circ } at a location θ\theta ^ { \circ } latitude for any date between the vernal equinox and autumnal equinox. To use this formula, cos1(tanitanθ\cos ^ { - 1 } \left( \tan ^ { i } \tan \theta \right. ) must be expressed in radians. Approximate the number of hours of daylight in Flagstaff, Arizona, ( 351335 ^ { \circ } 13 ^ { \prime } north latitude) for summer solstice (i=23.5)\left( \mathrm { i } = 23.5 ^ { \circ } \right) .

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Definitions:

Rejection

The act of not accepting, approving, or acknowledging someone or something.

Disappointing News

Information received that fails to meet expectations or hopes, often causing sadness or discouragement.

Emotionally Involved

The state of being deeply engaged with feelings or emotions, particularly in relation to a situation or cause.

Refusal-Before-Reason

A communication tactic where the denial or negative answer is given before explaining the reasons or rationale behind it.

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