Question

What is the value of x in the triangle?

Answer 1

D

Explanation:

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

sin45° =
`(√(2) )/(2)` , then

sin45° =
`(opposite)/(hypotenuse)` =
`(x)/(4)` =
`(√(2) )/(2)` ( cross- multiply )

2x = 4
`√(2)` ( divide both sides by 2 )

x = 2
`√(2)`