Question

Determine the value of x

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

Answer 1

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.