Question

Answer choice D.) is 1
Please help if able! 10 points available

Answer 1

Tan 30* = 0.57735026919

The option listed that matches 0.577 is B, √3/3

Answer 2

Use the definition of tangent:

$\tan(30) = \dfrac{\sin(30)}{\cos(30)} = \dfrac{\frac{1}{2}}{\frac{\sqrt{3}}{2}} = \dfrac{1}{2} \cdot \dfrac{2}{\sqrt{3}} = \dfrac{1}{\sqrt{3}} = \dfrac{\sqrt{3}}{3}$