High School

Measure the tilt of Keenan's solar panel.

The optimal tilt for Keenan's solar panel is between 58° and 60° to the horizontal. Has Keenan placed his solar panel at an optimal angle?

Answer :

Keenan has placed his solar panel at an optimal angle.

How determine if Keenan has placed his solar panel at an optimal angle?

The cosine law is a mathematical relationship between the sides and angles of a triangle. The cosine law states that:

cos(C) = (a² + b² - c²) / 2ab

where a, b, and c are the lengths of the sides of the triangle and C is the measure of one of the angles. This law can be used to find unknown side lengths or angle measures in a triangle when given the other values.

Check the attached image for labelling.

The angle we are trying to calculate is labelled C.

cos (C) = (20² + 18² - 19²) / (2*20*18)

cos (C) = 363/720

C = cos⁻¹(363/720)

C = 59.72°

Since the angle obtained is between 58° and 60°. Thus, Keenan has placed his solar panel at an optimal angle.

Learn more about cosine law on:

https://brainly.com/question/8823652

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Complete Question

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