(Modeling) Solve each problem. See Example 5. Elevation of the Sun Re...

(Modeling) Solve each problem. See Example 5.

Elevation of the Sun Refer to Example 5.

(a) Repeat the example for New Orleans, which has latitude L = 30° .

(b) Compare your answers. Do they agree with your intuition?

(Reference Example 5)

The angle of elevation u of the sun in the sky at any latitude L is calculated with the formula

where . D is the declination of the sun, which varies because Earth is tilted on its axis. (Source: Winter, C., R. Sizmann, and L. L. Vant-Hull, Editors, Solar Power Plants, Springer-Verlag.)

Sacramento, California, has latitude L = 38.5°, or 0.6720 radian. Find the angle of elevation θ of the sun at 3 p.m. on February 29, 2012, where at that time .