Question

Find the value of x.

Also please give me an explanation so i can complete it to other questions as well, thanks :)

Answer 1

4 square 2 is the best answer...................

Answer 2

x = 4
`√(2)`

Explanation:

note the exact value of tan60° =
`√(3)`

Since the triangle is right use the tangent ratio to find x

tan60° =
`(opposite)/(adjacent)` =
`(4√(6) )/(x)`

multiply both sides by x

x ×
`√(3)` = 4
`√(6)`

divide both sides by
`√(3)`

x =
`(4√(6) )/(√(3) )`= 4 ×
`\sqrt{(6)/(3) }` = 4
`√(2)`