Write the Following as an Algebraic Expression in U, U $\theta$

question 290

Multiple Choice

Write the following as an algebraic expression in u, u > 0.
-A painting 1 meter high and 3 meters from the floor will cut off an angle $\theta$ to an observer, where $\theta = \tan ^ { - 1 } \left( \frac { x } { x ^ { 2 } + 1.8 } \right)$ , assuming that the observer is $x$ feet from the wall where the painting is displayed and that the eyes of the observer are $1.8$ meters above the ground (see the figure) . Find the value of $\theta$ for $x = 2$ . Round to the nearest tenth of a degree.

• A) 21.5°
• B) 16.5°
• C) 19.0°
• D) 27.8°

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