Question

Find y.
image of a triangle whose lower left corner has a box and upper left corner is labeled 30 degrees; the vertical side of the triangle is labeled y and the horizontal side is labeled 9
A. 4.5
B. 18
C. 9
D. 9 times the square root of 3

Answer 1

Im pretty sure, this is a 30 60 90 triangle.

so the sides are labled
2a, a, a\[1.)2a\]
\[2.) a\]
\[3.) a \sqrt{3}\]

Answer 2

I believe the answer your looking for is D.) \[9\sqrt{3}\]

Answer 3

30-60-90 triangle, so:
a is shortest side = 9 here
2a is hypothenuse = 18 here
a*sqrt(3) is 3rd side = 9√3 here

Hint: Do make a good drawing, with the proper angles (30, 60, 90). It helps identifying this is a special triangle!