A painting 1 meter high and 3 meters from the floor will cut off an angle theta to an observer, where
theta= tan^-1 (x/x^2 + 1.8), assuming that the observre 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. Find the value of theta for x=2. Round to the nearest tenth of a degree.
Answer choices:
A. 27.8 degrees
B. 21.5 degrees
C. 16.5 degrees
D. 19.0 degrees

Question

A painting 1 meter high and 3 meters from the floor will cut off an angle theta to an observer, where 
theta= tan^-1 (x/x^2 + 1.8), assuming that the observre 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. Find the value of theta for x=2. Round to the nearest tenth of a degree.
Answer choices:
A. 27.8 degrees
B. 21.5 degrees
C. 16.5 degrees
D. 19.0 degrees

anonymous · Answer

Okay--what do you know about tangents? With that, I will give you some hints on how to solve this problem

 Rewrite tan-1(yadda) to      tan(theta) = (yadda)
Think definition of tangent

Set up a system of equations
Solve

anonymous · Answer

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