Question

Please the question below 55

Answer 1

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,

$tan\ 30 = \frac{perpendicular}{base}\\tan\ 30 = \frac{x}{30}\\0.5773 = \frac{x}{30}\\x = 0.5773*30\\x = 17.319$

Rounding off to nearest hundredth

x = 17.32

Hence,

The value of x is 17.32