Question

Please tell me what X is and please explain

Answer 1

x =
`(9√(2) )/(2)`

Explanation:

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

cos45° =
`(√(2) )/(2)`

cos45° =
`(adjacent)/(hypotenuse)` =
`(x)/(9)`

Multiply both sides by 9

9 × cos45° = x , that is

9 ×
`(√(2) )/(2)` = x, hence

x =
`(9√(2) )/(2)`