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Rudiy27
3 years ago
14

Please help!!!!!!! I will give brainliest!

Mathematics
1 answer:
Nesterboy [21]3 years ago
8 0

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

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