Answer:
30
Step-by-step explanation:
a^2 + b^2 = c^2
(8sqrt(3))^2 + b^2 = 16^2
64 * 3 + b^2 = 256
192 + b^2 = 256
b^2 = 64
b = 8
The ratio of the lengths of the sides of this triangle is
8 : 8sqrt(3) : 16
which reduces to
1 : sqrt(3) : 2
This is the ratio of the lengths of the sides of a 30-60-90 triangle.
m<W = 30 deg
D. 1/3
A cube root can be written as an exponent: 1/3
![\sqrt[3]{x} = x^{\frac{1}{3} }](https://tex.z-dn.net/?f=%5Csqrt%5B3%5D%7Bx%7D%20%3D%20x%5E%7B%5Cfrac%7B1%7D%7B3%7D%20%7D)