Question

What is the value of x?​

Answer 1

x = 14

Explanation:

Using the sine ratio in the right triangle and the exact value of sin45°

sin45° =
`(√(2) )/(2)`

Hence

sin45° =
`(opposite)/(hypotenuse)` =
`(7√(2) )/(x)`

Multiply both sides by x

x × sin45° = 7
`√(2)` ( divide both sides by sin45° )

x =
`(7√(2) )/(sin45)`

=
`(7√(2) )/((√(2) )/(2) )`

= 7
`√(2)` ×
`(2)/(√(2) )` = 7 × 2 = 14