an observer 1.5 m tall is 28.5 M away from a tower 30 M high the angle of elevation of the top of the tower from his eyes
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Answer:
tan(θ)=
adjacent
opposite
Find the angle of elevation:
\tan(\theta) =\dfrac{\text{30 - 1.5}}{\text{28.5}}tan(θ)=
28.5
30 - 1.5
\tan(\theta) =\dfrac{\text{28.5}}{\text{28.5}}tan(θ)=
28.5
28.5
\tan(\theta) = 1tan(θ)=1
\theta = tan^{-1}(1)θ=tan
−1
(1)
\theta = 45 \textdegreeθ=45\textdegree
Answer: The angle of elevation is 45°
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