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Solve the Problem θ\theta To an Observer, Where θ=tan1(xx2+1.6)\theta = \tan ^ { - 1 } \left( \frac { x } { x ^ { 2 } + 1.6 } \right)

question 162

Multiple Choice

Solve the problem.
-A painting 1 meter high and 3 meters from the floor will cut off an angle θ\theta to an observer, where θ=tan1(xx2+1.6) \theta = \tan ^ { - 1 } \left( \frac { x } { x ^ { 2 } + 1.6 } \right) , assuming that the observer is xx feet from the wall where the painting is displayed and that the eyes of the observer are 1.61.6 meters above the ground (see the figure) . Find the value of θ\theta for x=3x = 3 . Round to the nearest tenth of a degree.
 Solve the problem. -A painting 1 meter high and 3 meters from the floor will cut off an angle  \theta  to an observer, where  \theta = \tan ^ { - 1 } \left( \frac { x } { x ^ { 2 } + 1.6 } \right)  , assuming that the observer is  x  feet from the wall where the painting is displayed and that the eyes of the observer are  1.6  meters above the ground (see the figure) . Find the value of  \theta  for  x = 3 . Round to the nearest tenth of a degree.    A)   13.3 ^ { \circ }  B)   18.3 ^ { \circ }  C)   15.8 ^ { \circ }  D)   33.1 ^ { \circ }

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