Solar Panel Position

For locations between 20° and 60° north latitude, a solar collector panel should be mounted so that its angle with the horizontal is 20° greater than the local latitude. Consequently, the solar panel mounted on a roof forms a 54° angle with the horizontal. The bottom edge of the 12-ft long panel is resting on the roof and the higher edge is 5 feet above the roof.

What is the total area of the rectangular solar collector panel?

A quadrilateral having four right angles, or rectangle, in Euclidean plane geometry. A quadrilateral that is equiangular, or one in which all of the angles are equal, is another way to describe it. Also possible is a straight angle in the parallelogram. With four sides that are of the same size, a square is a rectangle. Four 90-degree vertices and equal parallel sides make up a quadrilateral with a rectangle-like shape. Its equirectangular rectangle moniker derives from this. The term "parallelogram" also refers to a rectangle, which has equal and parallel opposite sides.

given

A=12h

sin54°= h/5

ℎ= 5 / sin54°

h= sin54° / 5

Therefore: A=12 * sin54° / 5

74.164 feet2

The rectangular solar collector panel has a total area of 74.164 feet2 since the solar panel put on a roof makes a 54° angle with the horizontal.

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