Question

If a = 2√3, then the exact value of b is...

Answer 1

b = 2

Explanation:

using the tangent ratio in the right triangle and the exact value

tan30° =
`(1)/(√(3) )` , then

tan30° =
`(opposite)/(adjacent)` =
`(b)/(a)` =
`(b)/(2√(3) )` =
`(1)/(√(3) )` ( cross- multiply )

b ×
`√(3)` = 2
`√(3)` ( divide both sides by
`√(3)` )

b = 2

Answer 2

• C. b = 2

Explanation:

Given that a = 2√3.

Let's find value of b...

• 
  `\bf \tan( {30}^(o) ) = \cfrac{b}{a}`

• 
  `\bf \cfrac{1}{ √(3) } = \cfrac{b}{2 √(3) }`

• 
  `\bf b = 2`

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