Question

A conveyor belt carries supplies from the first floor to the second floor, which is 12 feet 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? Round your answer to the nearest foot.

Answer 1

Which Trigonometry Identity would we use based on this visual?

Answer 2

@maleena_1

Answer 3

cos

Answer 4

@563blackghost

Answer 5

Actually we would use sin becuase we know of the opposite and want to know of the hypotenuse side.... Now we insert this into the ratio of sin...

Answer 6

I don't get the ratio part

Answer 7

\(\huge\color{purple}{\sin(60)=\frac{12}{x}}\) We would divide by 12 since 12 is located as the numerator and we need the variable x as its self...

\(\huge\color{red}{x=12\div\sin(60)}\)

Note: When inputting this into your calculator make sure that your calculator is set to degree instead of radian mode....

Answer 8

\(\Large{\cos(x)=\frac{adjacent}{hypotenuse}}\)

\(\Large{\sin(x)=\frac{opposite}{hypotenuse}}\)

\(\Large{\tan(x)=\frac{opposite}{adjacent}}\)

These are the three identities and their ratios...

Answer 9

I got a decimal?
0.866

Answer 10

That is incorrect.... did you place the problem in the calculator as shown...

When inputting it would look like.... \(\Large{12/\sin(60)}\)

Answer 11

yes that is what I put in

Answer 12

And is your calculator set in degree mode?....to check look on you calculator for mode; then you would click it and find "radian" and "degree" in which you would click on "degree" and then leave the area...

Answer 13

yes it is degree

Answer 14

Well thats weird... O.o

Answer 15

how am I supposed to get the answer

Answer 16

Well you should get the total of 13.8564... which is the length of the conveyor belt distance... now do you need this in decimal or radical form?

Answer 17

I got it thanks

Answer 18

\(\Huge\cal\rlap{\color{red}{No~Problem!:)}}{\color{blue}{\;No~Problem!:)}}\)

I hope your cal will work for future problems :)