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

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

`(AB)/(BC)=tanC`

`(30)/(400)=tanC`

`(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)`.