Step-by-step explanation:
First diagram.......
Sin∅ = opp/hyp
using angle 30°.......
sin30° = E/10√3
From trigonometry ratio
sin30° = ½
½ = E/10√3
2E = 10√3
E = (10√3)/2
E = 5√3
still using angle 30°..........
cos∅ = adj/hyp
cos30° = F/10√3
From trigonometry ratio
cos30° = √3/2
√3/2 = F/10√3
2F = 10√3(√3)
2F = 10(√3)²
2F = 10×3
2F = 30
F = 30/2
F = 15
Second diagram
Using 30°.........
Sin30° = 8/H
½ = 8/H
H = 2 × 8
H = 16
Cos30° = G/H
√3/2 = G/16
2G = 16√3
G = (16√3)/2
G = 8√3
