SOLUTION: 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 fro

Algebra ->  Formulas -> SOLUTION: 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 fro      Log On


   

Question 1117692: 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 by josgarithmetic(39617) About Me  (Show Source):
You can put this solution on YOUR website!
r, hypotenuse, how far the supplies travel on the belt
x, distance along bottom from the 60 degree angle to point just below the second floor
30 feet, the vertical leg of triangle


30%2Fr=sin%2860%29

30%2Fr=sqrt%283%29%2F2
Find r from this.

----
belt moves at 80ft/min how long does it take the supplies to move to the second floor
----

RATE%2ATIME=DISTANCE
TIME=DISTANCE%2FRATE