Question

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

Explanation:

Step1: Recall tangent formula

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

Step2: Identify opposite and adjacent sides for 60°

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

Step3: Calculate tangent value

$\tan60^{\circ}=\frac{\sqrt{3}}{1}=\sqrt{3}$

Answer:

E. $\sqrt{3}$