MATH SOLVE

2 months ago

Q:
# 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.

Accepted Solution

A:

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