Question

A train travels 3.5 kilometers on a straight track with grade of 1 degree 10'. What is the vertical rise of the train distance?

Answer 1

The vertical rise of the train distance on a straight track with a grade of 1 degree 10' can be calculated using the formula Vertical Rise = Distance x sin(Grade).

Step-by-step explanation:

The vertical rise of the train distance can be calculated using trigonometry. The grade of the track is given as 1 degree 10' (1° 10'). To find the vertical rise, we can use the formula:

Vertical Rise = Distance x sin(Grade)

Plugging in the values, we get:

Vertical Rise = 3.5 km x sin(1° 10')

Using a calculator, we can find that sin(1° 10') is approximately 0.0218. Therefore, the vertical rise of the train distance is:

Vertical Rise = 3.5 km x 0.0218 ≈ 0.0763 km

Answer 2

the answer is
h = AB sin tetha,
tetha is 1 degree 10' = 1.1°, and AB = 3.5km

the vertical rise is h = 4.7