Question

Find the value of x and y. If your answer is not an integer, leave it in simplest radical form. Diagram is not drawn to scale.
https://www.connexus.com/content/media/456845-2242011-81715-AM-1339209380.png

Answer 1

\[y=8\sqrt{3}\] because it is half of the hypotenuse

Answer 2

x = 24 and y = 8 times square root of 3 because ...

Answer 3

\[\sin30=\frac{y}{16\sqrt{3}}\]
\[\cos30=\frac{x}{16\sqrt{3}}\]

Answer 4

.... In a 30-60-90 triangle, the 30 lege x = one-half the hypotenuse.

The 60 leg is square root of 3 times the 30 leg = (8 square root of 3)(square root of 3) = 8* 3 = 24.

You can use the converse of the Pythagorean Theorem to check answers. :)