Answer:
1) z = 6 y = 3√3
2) x = 6, z = 12
3) x = 5, y = 5√3
Step-by-step explanation:
x = 3
Sin(30) = x/z
½ = 3/z
z = 3/½ = 6
Tan(30) = x/y
1/√3 = 3/y
y = 3√3
For other parts, you can either use trig ratios again or use similar figures.
I'm using similar figures, comparing the next triangles to the first one
2) y = 6√3 (every side doubles)
x = 6, z = 12
3) z = 10
(Factor 10/6)
x = 3×10/6 = 5
y = 3√3 × 10/6 = 5√3
