Question

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

Explanation:

Step1: Recall the tangent formula

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

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

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

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

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

Answer:

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