Answer to Question #101420 in Algebra for Makaylee

Question

A factory has a conveyor​ belt, Conveyor​ 1, which brings the supplies into the factory. The conveyor belt rises 5 ft for every 5 ft it runs. The factory has another conveyor​ belt, Conveyor​ 2, which sends the products out of the factory. This conveyor belt descends 14 ft for every 7 ft it runs. Find the slope of each conveyor belt. Which conveyor belt is​ steeper?

Answer 1

1.The slope of Conveyor 1 is $\tan \alpha=5/5=1$,

$\alpha = \arctan(1) = 45\degree$ .

2.The slope of Conveyor 2 is $\tan\beta = -14/7 =- 2$,

$\beta = \arctan(-2) \approx -63.4\degree$.

It means the second conveyor belt is steeper.