Solve the Problem $\theta$ Of the Sun in the Sky at Any Latitude

question 114

Multiple Choice

Solve the problem.
-The angle of elevation $\theta$ of the sun in the sky at any latitude $L$ is calculated with the formula $\sin \theta = \cos \mathrm { D } \cos \mathrm { L } \cos \omega + \sin \mathrm { D } \sin \mathrm { L }$ . $\omega$ is the number of radians that the Earth has rotated through since noon when $\omega = 0$ . D is the declination of the sun. Westville has latitude $L = 36.5 ^ { \circ }$ . Find the angle of elevation $\theta$ in degrees of the sun at 3 PM on February 29, 2012, where at that time $\mathrm { D } \approx - 0.1425$ and $\omega \approx 0.7854$ .

• A) \(9.8 ^ { \circ }\)
• B) \(0.5 ^ { \circ }\)
• C) \(28.6 ^ { \circ }\)
• D) \(27.4 ^ { \circ }\)

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Definitions:

Volume Variance

A financial metric that measures the difference between the expected sales volume and the actual sales volume.

Spending Variance

The difference between the budgeted or standard cost of something and its actual cost, which can indicate areas of inefficiency or savings.