13 point question, Surds, geometry and Algebra. Help me please ! :( < 3
Accepted Solution
A:
Answer:A) Tan 60° [tex]\sqrt{3}[/tex] = 1.732B) H = 12 unitC) Area of triangle = 41.569 unit²Step-by-step explanation:As shown in figure, the triangle with cone angle of 60° and base value 4[tex]\sqrt{3}[/tex] unitA) Now, Tan 60° = [tex]\sqrt{3}[/tex] Or, Tan 60° = 1.732 B) To find value of h since TanФ = [tex]\frac{Perpendicular}{Base}[/tex] So, Tan 60° = [tex]\frac{h}{4\sqrt{3} }[/tex] [tex]\sqrt{3}[/tex] = [tex]\frac{h}{4\sqrt{3} }[/tex] ∴([tex]\sqrt{3}[/tex]) × ([tex]4\sqrt{3}[/tex] = h ∴ h = 12 unitC) Area of this triangle = [tex]\frac{1}{2}[/tex] × Perpendicular × Base = [tex]\frac{1}{2}[/tex] × h ×[tex]4\sqrt{3}[/tex] ∵ Perpendicular h = 12 unit So, Area = [tex]\frac{1}{2}[/tex] × 12 × [tex]4\sqrt{3}[/tex] Hence Area of triangle = 41.569 unit²ANSWER