Question

the angle of the first hill of a roller coaster is 55 degrees. if the length of the track from the beginning of the ascent to the highest point is 98 feet, what is the height if the roller coaster when it reaches the top of the first hill?

Answer 1

The height of the ascent will be given by:
sin θ=opposite/hypotenuse
θ=55°
opposite=h
hypotenuse=98 ft
thus the height will be:
sin 55=h/98
solving for h we get:
h=98×sin55
h=80.28 ft
Thus the height is 80.28 ft