Question

13 point question, Surds, geometry and Algebra. Help me please ! :( < 3

Answer 1

Answer:

A)  Tan 60° $\sqrt{3}$ = 1.732

B)  H = 12 unit

C)  Area of triangle = 41.569 unit²

Step-by-step explanation:

As shown in figure, the triangle with cone angle of 60° and base value 4$\sqrt{3}$ unit

A) Now, Tan 60° = $\sqrt{3}$

   Or, Tan 60° = 1.732

B) To  find value of h

   since TanФ = $\frac{Perpendicular}{Base}$

   So,     Tan 60° = $\frac{h}{4\sqrt{3} }$  

             $\sqrt{3}$ = $\frac{h}{4\sqrt{3} }$

           ∴($\sqrt{3}$) × ($4\sqrt{3}$ = h

           ∴ h = 12 unit

C) Area of this triangle = $\frac{1}{2}$ × Perpendicular × Base

                                     = $\frac{1}{2}$ × h ×$4\sqrt{3}$

      ∵ Perpendicular  h = 12 unit

   So, Area = $\frac{1}{2}$ × 12 × $4\sqrt{3}$

   Hence Area of triangle = 41.569 unit²

ANSWER