Find tan b. (applying trigonometric functions)

  8/15

Step-by-step explanation:

The mnemonic SOH CAH TOA reminds you that ...

  Tan = Opposite/Adjacent

The side opposite angle B is side AC. The side adjacent to angle B is side BC. So, the tangent of angle B is ...

  tan(B) = AC/BC = 8/15

The correct answer is first option

Tan B = 8/15

Step-by-step explanation:

Trigonometric ratio

Sinθ = Opposite side/Hypotenuse

Cosθ = Opposite side/Hypotenuse

Tan θ = Opposite side/Adjacent side

To find the value of TanB

Using trigonometric ratio we can write,

Tan B = Opposite side/Adjacent side = AC/BC = 8/15

Therefore the correct answer is first option

Tan B = 8/15