Question

Find the values of x and y. write your answers in simplest form.

I know x=9√3 and y=18 but I don't know why pls pls help ASAP

Answer 1

Explanation:

Given triangle is 30°, 60° & 90° angled triangle.

We know that in 30°, 60° & 90° angled triangle. Side opposite to 30° is half of hypotenuse and side opposite to 60° is root 3 upon 2 times of hypotenuse.

`\therefore \: 9 = (1)/(2) * y \:\:\:(side \: opposite \: to \: 30 \degree)\\ \\ \therefore \: 9 * 2 = y \\ \\ \therefore \:y = 18 \: units \\ \\ next \\ \\ x = ( \sqrt 3)/(2) * y \:\:\: (side \: opposite \: to \: 60 \degree)\\ \\ \therefore \: x = ( \sqrt 3)/(2) * 18 \\ \\\therefore \: x = \sqrt 3 * 9 \\ \\ \therefore \: x = 9 \sqrt 3 \: units`