Question

Determine the value of x

A. 8
B. 4
C.8sqrt2
D. 8sqrt3

Answer 1

The value of x is :
`\mathbf{8√(2)}`

Option C is correct.

Explanation:

We need to find value of x

We are given Perpendicular = 8

Hypotenuse = x

and Ф= 45°

Using trigonometric identity

`sin \theta=(Perpendicular)/(Hypotenuse)`

Putting values and finding x

`sin \theta=(Perpendicular)/(Hypotenuse)\\sin \ 45^o=(8)/(x)\\(1)/(√(2) )= (8)/(x)\\(1)/(√(2) )x=8\\x=8√(2)`

So, the value of x is :
`\mathbf{8√(2)}`

Option C is correct.