Question

5. What is the value of x?

Answer 1

5
`√(3)`

Explanation:

in a 30-60-90 triangle the ratio of sides, respectively, is 1 :
`√(3)` : 2

you can set up a proportion like this to solve for 'x':

`√(3)` / 1 = 15 / x

cross-multiply:

`√(3)`x = 15

x = 15/
`√(3)`

rationalize the denominator by multiply top and bottom by
`√(3)`

you get 15
`√(3)` ÷ 3 which is 5
`√(3)`