Question

What is the value of x?
7
7 square root 2
14
14 square root 2

Answer 1

14

Explanation:

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

sin45° =
`(1)/(√(2) )` , thus

sin45° =
`(opposite)/(hypotenuse)` =
`(7√(2) )/(x)` =
`(1)/(√(2) )` ( cross- multiply )

x = 7
`√(2)` ×
`√(2)` = 7 × 2 = 14

Answer 2

x = 14

i hope it helps :)

Explanation:

`Hypotenuse = x \\Opposite = 7√(2) \\\alpha = 45\\\\\Using \: SOHCAHTOA\\Sin \alpha = (Opposite)/(Hypotenuse)\\ \\Sin 45 = (7√(2) )/(x) \\\\(√(2) )/(2) = (7√(2) )/(x) \\\\√(2x) = 14√(2) \\\\(√(2x) )/(2) = (14√(2) )/(2) \\x = 14`