Question

Find y. Give your answer in the simplest form

Answer 1

y = 3
`√(3)`

Explanation:

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

tan30° =
`(1)/(√(3) )` , then

tan30° =
`(opposite)/(adjacent)` =
`(3)/(y)` =
`(1)/(√(3) )` ( cross- multiply )

y = 3
`√(3)`

Answer 2

`3 √(3)`

Explanation:

`tan \: 60 \degree = (y)/(3) \\ \\ y = 3tan \: 60 \degree \\ \\ y = 3 √(3)`