Question

Find the value of y.

Answer 1

Answer:

y = $\frac{4\sqrt{3} }{3}$

Step-by-step explanation:

We are working with 30-60-90 triangles, and to solve for y we need to know the hypotenuse of the smaller triangle.

You can get that by finding the smaller value of the larger triangle.

$\frac{8}{\sqrt{3} } =\frac{x}{1}$

x$\sqrt{3}$ = 8

x = $\frac{8}{\sqrt{3} }$

x = $\frac{8\sqrt{3} }{3}$

That is the hypotenuse of the smaller triangle. To find y...

$\frac{(\frac{8\sqrt{3} }{3}) }{2} =\frac{y}{1}$

2y = $\frac{8\sqrt{3} }{3}$

y = $\frac{4\sqrt{3} }{3}$

Hope this helps!