Chapter 8.7, Problem 7E

To determine

the angle of elevation of the sun at noon on the longest day and the shortest day.

Answer to Problem 7E

The angle of elevation of the sun at noon on the longest day of the year is greater than $90°$ .

Explanation of Solution

Given:

Approximate north latitude of San Juan, Puerto Rico is $18°$ .

Calculation:

If the angle of elevation of the sun at noon on the longest day and at noon on the shortest day as the north latitudes of Sanjaun , Puerto Rico is $18°$ , then the formula gives the summer solstice angle greater than $90°$ , which means the angle of elevation of the sun at noon on the longest day of the year is greater than $90°$ .