Question

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

Answer 1

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 $C=4.3^{\circ}$.

Answer 2

It will be 0.075 the tracks