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telo118 [61]
3 years ago
11

a railroad track rises 30feet for every 400 feet of track. what is the measure of the angle of elevation of the track?

Mathematics
2 answers:
mixas84 [53]3 years ago
7 0

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}.

tensa zangetsu [6.8K]3 years ago
4 0
It will be 0.075 the tracks
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