Question

Find the indicated side of the triangle.
Please Help!!!

Answer 1

a = 6

Explanation:

Since the triangle is right use the sine ratio to find a

sin30° =
`(opposite)/(hypotenuse)` =
`(a)/(12)`

Multiply both sides by 12

12 × sin30° = a, hence

a = 6

Answer 2

Explanation:

So you can use the special formula for 30-60-90 triangle or you can use the whole Soh Cah Toa thing.

I honestly prefer trig. so a is the opposite side of the 30 deg and 12 is the hyp. This should scream sine to you since sine goes with opposite/hypotenuse.

sin(30 deg)=a/12

Multiply both sides by 12

giving a=12 sin(30)

Type into calculator unless you know your unit circle well.

a=6