Question

What is the measure of angle A in the triangle below?

Answer 1

See this is why SOH CAH TOA is important to know. you can solve this question using it as well.

Answer 2

find it by applying a trigonometric function in your triangle, but the values are not so friendly.

Answer 3

.....GUYS I have been behind for like 4 weeks I have no clue what I am doing.

Answer 4

Ok so \[\sin \theta=\frac{ opposite }{ hypotenuse }\] opposite meaning the length opposite the angle you are trying to find

Answer 5

in this case \[\sin \theta=\frac{ 12}{ 37 }\] but since we are trying to find theta we have to take inverse sin of both sides so \[\theta= \sin^{-1} \frac{ 12 }{ 37 }\]

Answer 6

which comes out to approximately 18.9 degrees for angle A

Answer 7

sin theta =BC/BA , cos theta=AC/BA and tan theta=BC/AC where theta=angle A

Answer 8

sin omega=ac/ab, cos omega=bc/ab and tan omega=ac/bc where angle omega= angle b