Respuesta :
The height of the track will be given by:
sin θ=opposite/ hypotenuse
θ=34°4'=34+4/60=34 1/15°
thus
sin 34 1/15=h/68.8
h=68.8sin 34 1/15
h=38.54 meters
sin θ=opposite/ hypotenuse
θ=34°4'=34+4/60=34 1/15°
thus
sin 34 1/15=h/68.8
h=68.8sin 34 1/15
h=38.54 meters
The height of the embankment will be 38.53 m
It is given that,
Length of the track = 68.8 m
The angle of inclination = 34°4'
What is the angle of inclination?
It is the angle between the line of sight and horizon.
Height of embankment h =?
In this problem, the length of the embankment can be considered as the Hypotenuse of a right-angle triangle.
Sine of the angle of inclination = Height of embankment/Length of the track.
Sin 34°4' = h/68.8
h = 38.53 m
Therefore, the height of the embankment will be 38.53 m
To get more about trigonometric ratios refer to the link,https://brainly.com/question/24061516