Question

A conveyor belt carries supplies from the first floor to the second floor which is 30ft higher. The belt makes a 60 degree angle with the ground. How far do the supplies travel from one end of the conveyor belt to the other to the nearest foot? If the belt moves at 80ft/min how long does it take the supplies to move to the second floor to the nearest tenth of a minute

17ft; 0.2 min

35 ft; 0.4 min

42ft; 0.5 min

52ft; 0.6 min

Answer 1

Make a sketch.
using trig: sin60 = 30/h ----> h = 30/sin60 = appr 34.64

to go 34.64 ft at 80 ft/min would take
34.64/80 or .43 minutes

Answer 2

I think it's...
B. 35 ft.; 0.4 min.
Hope this helps.