Question

I need the answer to this question.

Answer 1

Answer:

The value of x is 9.

The value of y is 18.

Step-by-step explanation:

The given triangle is a right angled triangle.

We have: $tan(x) = \frac{opp}{adj}$

Therefore, $tan(30) = \frac{x}{9\sqrt{3}}$

Since, $tan(30) = \frac{1}{\sqrt{3}}$

Therefore, we have:

$\frac{1}{\sqrt{3}} = \frac{x}{9\sqrt{3}}$

$\implies x = 9$

Now, 'y' is the hypotenuse.

Use Pythagoras theorem, we have $x^2 + (9\sqrt{3}})^2 = y^2$

Substituting x = 9, we get:

81 + 81(3) = y²

$\implies y^2 = 81 + 243$

$\implies y^2 = 324$

$\therefore y = 18$

Hence, the value of y = 18.