Answer:
The side s has a length of 4 and side q has a length of 4[tex]\sqrt{3}[/tex] ⇒ F
Step-by-step explanation:
In the 30°-60°-90° triangle, there is a ratio between its sides
side opp (30°) : side opp (60°) : hypotenuse
1 : [tex]\sqrt{3}[/tex] : 2
In the given triangle
∵ The side opposite to 30° is s
∵ The side opposite to 60° is q
∵ The hypotenuse is 8
→ Use the ratio above to find the lengths of s and q
side opp (30°) : side opp (60°) : hypotenuse
1 : [tex]\sqrt{3}[/tex] : 2
s : q : 8
→ By using cross multiplication
∵ s × 2 = 1 × 8
∴ 2s = 8
→ Divide both sides by 2
∴ s = 4
∴ The length of s is 4
∵ q × 2 = [tex]\sqrt{3}[/tex] × 8
∴ 2q = 8[tex]\sqrt{3}[/tex]
→ Divide both sides by 2
∴ q = 4[tex]\sqrt{3}[/tex]
∴ The length of q is 4[tex]\sqrt{3}[/tex]
