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
\(\frac{AB}{BC}=tanC\)
\(\frac{30}{400}=tanC\)
\(\frac{3}{40}=tanC\)
\(0.075=tanC\)
\(C=tan^{-1}(0.075)\)
\(C=4.3^{\circ}\)
Thus, the measure of the angle of elevation of the track is \(C=4.3^{\circ}\).
