A funicular carries passengers up an embankment to an observation point. if the length of the track is 68.8 meters and the angle of inclination is 34 degrees 4​', determine the height of the embankment.

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

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

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