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

Answer:

option 1: $\frac{40}{9}$

Step-by-step explanation:

tan = $\frac{opposite}{adjacent}$

tan A = $\frac{40}{9}$

Answer 2

Answer:

Option 3

Step-by-step 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!