Answer:
B
Step-by-step explanation:
Since the triangle is a 30-60-90 triangle, we can use a shortcut to find the answer.
- We know that the side opposite from the 30 degree angle will stand for some value a.
- The side opposite from the 60 degree angle will stand for a[tex]\sqrt{3} \\[/tex].
- The side opposite the 90 degree angle will stand for 2a.
Our sides are 10 and y, the hypotenuse is x, and theangle we are given is 60 degrees.
As such, we know that:
a = 10, since that side length is opposite the 30 degree angle.
y = a[tex]\sqrt{3} \\[/tex] = 10[tex]\sqrt{3} \\[/tex]
x = 2a = 2(10) = 20
