Answer:
The value of x is 17.32
Step-by-step explanation:
It can clearly be seen that the triangle is a right-angled triangle.
In the triangle, according to reference angle 13 degree,
Base = 30
Perpendicular = x
We can use trigonometric ratios for finding the value of x
As tangent includes both perpendicular and base, we can use this.
So,
[tex]tan\ 30 = \frac{perpendicular}{base}\\tan\ 30 = \frac{x}{30}\\0.5773 = \frac{x}{30}\\x = 0.5773*30\\x = 17.319[/tex]
Rounding off to nearest hundredth
x = 17.32
Hence,
The value of x is 17.32
