Answer:
15.945°
Step-by-step explanation:
tan A = opp/adj
You are correct to use the tangent function.
You are also correct in writing
tan (B) = 2/7
You are not finding the tangent of a degree angle measure.
You are doing the opposite. You know what the tangent of an angle equals, and you need to find out the angle measure.
For that, you need to do the inverse tangent.
If you have a calculator, divide 2 by 7.
Then press the second function key followed by the tangent key.
The tangent key has "tan".
The second function on the tangent key is the inverse tangent, and its symbol is [tex] \tan^{-1} [/tex].
In this case, the exponent -1 is not really an exponent. It really is function notation for the inverse function.
[tex] \tan^{-1} \dfrac{2}{7} = 15.945^\circ [/tex]
