Question

a mountain railway AB is of length 864m and rises at an angle of 120° to the horizontal.A train is 856m above sea level when it is at A calculate the height above sea level of the train when it reaches B​

Answer 1

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Answer:

1604 m

Explanation:

The relevant trig relation is ...

Sin = Opposite/Hypotenuse

Here, the "opposite" is the elevation of point B above point A, and the "hypotenuse" is the length of the railway. Then the total height of point B is ...

B = 856 + 864·sin(120°)

B = 856 +864(√3)/2 = 856 +432√3 ≈ 1604.246

The height of the train at point B is about 1604 m above sea level.