Question

question 1 of 10
what is tan 30°?
1
60°
2
90°
30°
√3
a. 1/√3
b. √3/2
c. √3
d. √2
e. 2/√3
f. 1

Explanation:

Step1: Recall tangent formula

The formula for tangent in a right - triangle is $\tan\theta=\frac{\text{opposite}}{\text{adjacent}}$.

Step2: Identify sides for 30 - degree angle

For a 30 - 60 - 90 triangle, when $\theta = 30^{\circ}$, the opposite side to the 30 - degree angle has length 1 and the adjacent side has length $\sqrt{3}$.

Step3: Calculate tangent value

$\tan30^{\circ}=\frac{1}{\sqrt{3}}$.

Answer:

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