Question

PLEASE HELP! find the value of the sine for angle A?

Answer 1

Do you know how we find the sinus of an angle in general ?

Answer 2

sinx=o/h ?

Answer 3

Yeah ! Can you apply it here

Answer 4

i found the hypotenuse and got 14.42 is that right? and then aren't i just supposed to divide the opposite side by the hypotenuse? aka 14.42?

Answer 5

Actually, here, the hypotenuse is already given and it's 12, but you'll need to find the opposite using the Pythagorean theorem. And then yes it's just a simple division.

Answer 6

when i do the Pythagorean theorem i get 14.42

Answer 7

Not possible, the opposite is always less than the hypotenuse. \[a=\sqrt{12^{2}-8^{2}}\]

Answer 8

8.9?

Answer 9

Correct !

Answer 10

And then use it to find the sin.

Answer 11

i got 1.34///

Answer 12

but i dont think thats right?

Answer 13

How did you get that?

Answer 14

i divided 12 and 8.9

Answer 15

Yeah but it's opposite/hypo

Answer 16

opposite = 8.9 & hypo = 12

Answer 17

wait so im confused? i just did it backwards then ?

Answer 18

Yep !

Answer 19

0.74 then

Answer 20

Correct !

Answer 21

how do i get my answer into fraction form then?

Answer 22

Then we don't evaluate :)
\[\sin(A) = \frac{ \sqrt{12^{2}-8^{2}} }{ 12 }=\frac{ \sqrt{80} }{ 12 }\] You can simplify it more if you like.

Answer 23

so sqrt5/3! thank you so much for helping me

Answer 24

You're very welcome !