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?

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Answers

2015-02-14T22:29:21+08:00
Just use tangent

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

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

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