Chapter 8.7, Problem 10E

To determine

The portion of window will be in the sun at noon at the winter solstice.

Answer to Problem 10E

More than half of the window will be in the sun at noon at the winter solstice.

Explanation of Solution

Given:

The diagram shows the cross section of the wall that will face south ( $74°$ ).

Length of the overhang is $x=11\text{ ft}$ .

Calculation:

If the angle of elevation of the sun at noon on the winter (shortest day) $74°$ , and the formula gives the winter solstice angle to be negative that is $-1.220$ , then the angle of elevation of the sun at noon on the shortest day of the year is negative, that is the sun is in opposite direction.

Therefore, more than half of the window will be in the sun at noon at the winter solstice.