The angle of view

Determine the angle of view at which the observer sees a rod 16 m long when it is 18 m from one end and 27 m from the other.

Correct result:

A =  34.9193 °

Solution:

a=16 m b=18 m c=27 m  a2=b2+c2−2⋅ b⋅ c⋅ cos⁡A  x=−a2+b2+c22⋅ b⋅ c=−162+182+2722⋅ 18⋅ 27=797972≐0.82  A=180∘π⋅arccos⁡(x)=180∘π⋅arccos⁡(0.82)=34.9193∘=34∘55′10"

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