Question

Tan A =

option 1: 40/9

option 2: 9/41

option 3: 40/41

option 4: 41/40

what is the correct answer?

Answer 1

Option 3

Explanation:

So remember the formula for sine, cosine, and tangent: it's SOH CAH TOH. SOH is sine: opposite over hypotenuse. Cosine is CAH: adjacent over hypotenuse. Lastly, the one we're using today is tangent, TOH: opposite over hypotenuse. So for tan A, you look at the opposite side of angle A, which is side BC; the length is 40. Then you look at the hypotenuse, which is side AB; the length is 41. So, you get 40/41, which is option 3 as the answer. Hope this helps!

Answer 2

option 1:
`(40)/(9)`

Explanation:

tan =
`(opposite)/(adjacent)`

tan A =
`(40)/(9)`