Question

question 6 of 10
what is tan 30°?
a. √3
b. 1/√3
c. √3/2
d. 2/√3
e. 1
f. √2

Explanation:

Step1: Recall the tangent formula

In a right - triangle, \(\tan\theta=\frac{\text{opposite}}{\text{adjacent}}\).

Step2: Identify the sides for \(\theta = 30^{\circ}\)

For the \(30^{\circ}\) angle in the given right - triangle, the opposite side length is \(1\) and the adjacent side length is \(\sqrt{3}\).

Step3: Calculate \(\tan30^{\circ}\)

Using the formula \(\tan30^{\circ}=\frac{\text{opposite}}{\text{adjacent}}=\frac{1}{\sqrt{3}}\).

Answer:

B. \(\frac{1}{\sqrt{3}}\)