Question

Find the following and show all work including the trigonometric ratios used:

The measure of angle A
The length of side AB
The length of side BC

Answer 1

@563blackghost I think I can do this but I might need help again, sorry!

Answer 2

Alrighty....well i'll let you know which equations to use and see if you can input and solve ok?

Answer 3

Okay

Answer 4

Well to find the length of AB you would use \[\sin (\angle x)=\frac{ opposite }{ hypotenuse }\]

Answer 5

Hint: The hypotenuse in the equation would be x...

Answer 6

Hmm I know so far the we will use 30, but where does 20 come in? isn't it adjacent?

Answer 7

20 is the angle so we would input it where sin is....\[\sin (20)\]

Answer 8

So would I get the sin of 20 then multiply it by 30?

Answer 9

Since the equation has 30 over x we would actually divide....

\(\LARGE\color{red}{30/\sin (20)}\)

Answer 10

I got 87.71

Answer 11

Correct ^^

Answer 12

Now we would solve the adjacent angle...Now you know the opposite and want to know the adjacent angle so we would use tan....

\[\tan(20)=\frac{ opposite }{ adjacent }\]

Answer 13

adjacent side* not angle

Answer 14

Ok so the same as before but with tan?

Answer 15

Yup ^^

Answer 16

I got 82.42

Answer 17

Correct again ^^

Answer 18

Now to find angle A its not that hard ^^ First determine what the two degree of a triangle is....next you would analyze the triangle I see a right angle which means 90 degrees and I know one angle is 20 degrees so you would simply add 90 and 20 and then subtract it from the total degree of a triangle....

Answer 19

total* not two

Answer 20

70, right? Since right angles equal 180 degrees

Answer 21

Yes it is 70 but because the total degree of a triangle is 180 ^^

So angle A is \(\Large{70^{o}}\)

Answer 22

ohh ok

Answer 23

And we answered all ^^ and if you need to put 82 or 87 in radical form its impossible...

Answer 24

Awesome! Thank you so much, I really appreciate it :D

Answer 25

Np ^^