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Patrick wishes to spotight a painting on a wall. The center of the painting is 2 squareroot of 2 meters from the floor and the ceiling is 4 squareroot of 2

meters high. The spotlight is placed in the ceiling 2 squareroot of 6 meters from the wall. At what angle must the spotlight be placed?


Just use tangent

your opp is the distance from the center to the ceiling
and adj is the distance of spotlight to the wall

tan (theta) = opp/adj
theta = arctan (opp/adj)

theta = arctan (4sqrt2/2sqrt6)
       = 49.11 dergree from the ceiling
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