Question

Analyze the diagram below and complete the instructions that follow.

A. 4√2/2
B. 4
C. 4√2
D. 4√3​

Answer 1

Solving we get x=4

Option B is correct.

Explanation:

We are given:

Perpendicular = x

Hypotenuse =
`4√(2)`

We need to find value of x.

We know that
`sin(\theta)=(Perpendicular)/(Hypotenuse)`

`sin(45^(\circ))=(Perpendicular)/(Hypotenuse) \\sin(45^(\circ))=(x)/(√(2))`

We know that
`sin 45^(\circ) =(1)/(√(2) )`

Solving:

`(1)/(√(2) ) =(x)/(4√(2))\\x=(4√(2) )/(√(2) ) \\x=4`

So, solving we get x=4

Option B is correct.