Question

question 3 of 10
what is tan 30°?
a. $\frac{1}{\sqrt{3}}$
b. $\frac{2}{\sqrt{3}}$
c. $\sqrt{2}$
d. $\sqrt{3}$
e. $\frac{\sqrt{3}}{2}$
f. 1

Explanation:

Step1: Recall tangent definition

In a right triangle, $\tan\theta = \frac{\text{opposite}}{\text{adjacent}}$ to $\theta$.

Step2: Identify sides for $30^\circ$

For $30^\circ$ angle, opposite side is $1$, adjacent side is $\sqrt{3}$.

Step3: Calculate $\tan 30^\circ$

$\tan 30^\circ = \frac{1}{\sqrt{3}}$.

Answer:

A. $\frac{1}{\sqrt{3}}$