Question

Find the value of x and the value of y.

Answer 1

Step-by-step explanation:

Given triangle is of the measure of 30°, 60°, 90° triangle.

x is opposite to 60° angle and y is opposite to 30° angle.

According to the 30°, 60°, 90° triangle theorem:

$x = \frac{ \sqrt{3} }{2} \times 10 \sqrt{3} = \sqrt{3} \times 5 \sqrt{3} = 15 \\ \\ y = \frac{1}{2} \times 10 \sqrt{3} = 5 \sqrt{3}$