Question

Write your answer in simple.st radical form​

Answer 1

a = 3
`√(6)`

Explanation:

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

tan60° =
`√(3)` , then

tan60° =
`(opposite)/(adjacent)` =
`(a)/(3√(2) )` =
`√(3)` ( multiply both sides by 3
`√(2)` )

a = 3
`√(2)` ×
`√(3)` = 3
`√(6)`