Problem on area and distance


Assignment:

Q1. Area: For locations between 20° and 60° north latitude a solar collector panel should be mounted so its angle with the horizontal is 20 greater than the local latitude.
Consequently, the solar panel mounted on the roof of Solar Energy, Inc., in Atlanta (latitude 34°) forms a 54degree angle with the horizontal. The bottom edge of the 12-ft. long panel is resting on the roof, and the high edge is 5 ft. above the roof. What is the total area of this rectangular collector panel?

856_Area.JPG

Q2. Distance: DaShanda's team of surveyors had to find the distance AC across the lake at Montgomery County Park. Field assistants positioned themselves at points A and C while DaShanda set up an angle-measuring instrument at point B, 100 ft. from C in a perpendicular direction. DaShanda measured angleABC as 75°12'42".
What is the distance AC?

787_Distance.JPG

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Mathematics: Problem on area and distance
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