Question

What is the value of​ x?

Answer 1

x = 14
`√(2)`

Explanation:

We can use the sine or cosine ratio to find x

Using the cosine ratio in the right triangle ( lower 45° angle )

and the exact value cos45° =
`(√(2) )/(2)`

cos45° =
`(adjacent)/(hypotenuse)` =
`(x)/(28)` =
`(√(2) )/(2)` ( cross- multiply )

2x = 28
`√(2)` ( divide both sides by 2 )

x = 14
`√(2)`