Answer:
The value of x is 6.14
Step-by-step explanation:
Given triangle is a right angled triangle
So we can use trigonometric ratios to find the value of x.
We have to choose a trigonometric ratio that involves hypotenuse and base as we only know one of these and angle
We will use cosine ratio
[tex]cos\ 47 = \frac{base}{hypotenuse}\\0.68199 = \frac{x}{9}\\0.68199*9 = x\\x = 6.13791[/tex]
Rounding off to nearest hundredth
x = 6.14
Hence,
The value of x is 6.14
