Answer:
Step-by-step explanation:
It is given that a railroad track rises 30 feet for every 400 feet of track.
Thus, from the figure, we have
AB=30 feet and BC=400 feet
Therefore, using the trigonometry, we have
[tex]\frac{AB}{BC}=tanC[/tex]
[tex]\frac{30}{400}=tanC[/tex]
[tex]\frac{3}{40}=tanC[/tex]
[tex]0.075=tanC[/tex]
[tex]C=tan^{-1}(0.075)[/tex]
[tex]C=4.3^{\circ}[/tex]
Thus, the measure of the angle of elevation of the track is [tex]C=4.3^{\circ}[/tex].
