The height of the sun above the horizon 48. At what angle to the horizon should

The height of the sun above the horizon 48. At what angle to the horizon should the mirror be positioned to illuminate the bottom of the well?

Assume that the distance from the sun to the top of the well is DO. Distance from the top of the well to the bottom OA. Let’s draw a horizontal line AC. Let’s draw a vertical AE. We get the corners:

DOE, AOF, DOC, AOC, COE. Since the DOE angle and the AOF angle are equal, we denote it by x.

The DOC distance is the height of the sun 48 cm above the horizon. And the angle AOC = 90.
It turns out – x + 48+ 90 + x = 180.

2x + 138 = 180.
2x = 42.
x = 21.

The COE distance is 48 + 21 = 69.

Answer: To illuminate the bottom of the well, the mirror should be positioned at an angle of 69 to the horizon.



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