Compare the quantity in column a with the quantity in column b. choose

The quantity in column A is greater ⇒ first answer

Step-by-step explanation:

* lets talk about how to compare between two quantity

- If the two quantity are positive, the greatest is which has

 the biggest value

Ex : 5 > 3

- If the two quantity are negative, the greatest is which has

 the smallest absolute value

Ex : -2 > -3

- If one of the negative and the other is positive, then the

 positive is the greatest one

Ex: 7 > -4

* In the problem we have in column A tan(30°) and in

 column B tan(120°)

- Lets check the position of each angle in the quadrant system

∵ Angle 30 is acute angle

∴ It lies on the first quadrant

∴ The value of tan(30) is positive

∵ Angle 120 is obtuse angle

∴ It lies on the second quadrant

∴ The value of tan(120) is negative ⇒ According to ASTC rule

* ASTC rule

# All trigonometry functions are positive in the 1st quadrant

# The value of sin and csc only are positive in the 2nd quadrant

# The value of tan and cot only are positive in the 3st quadrant

# The value of cos and sec only are positive in the 4st quadrant

∵ tan(30) is positive and tan(120) is negative

∴ tan(30) > tan(120)

* The quantity in column A is greater

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step-by-step explanation:

the answer is c.

step-by-step explanation: