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vivado [14]
3 years ago
9

Determine the value of x A. 8 B. 4 C.8sqrt2 D. 8sqrt3

Mathematics
1 answer:
tankabanditka [31]3 years ago
8 0

Answer:

The value of x is : \mathbf{8\sqrt{2}}

Option C is correct.

Step-by-step explanation:

We need to find value of x

We are given Perpendicular = 8

Hypotenuse = x

and Ф= 45°

Using trigonometric identity

sin \theta=\frac{Perpendicular}{Hypotenuse}

Putting values and finding x

sin \theta=\frac{Perpendicular}{Hypotenuse}\\sin \ 45^o=\frac{8}{x}\\\frac{1}{\sqrt{2} }=  \frac{8}{x}\\\frac{1}{\sqrt{2} }x=8\\x=8\sqrt{2}

So, the value of x is : \mathbf{8\sqrt{2}}

Option C is correct.

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