Krishna
0

Step 1: Analyse the given information and make a figure.

            NOTE: The angle between the broken part and the ground = 30\degree

                      The distance between the foot of the tree and the broken part of the tree that touches the ground = 6 m 

                                       


Step 2: Find the appropriate trigonometric formulas to calculate the unknown values.

            NOTE: To find hypotenuse use \cos \theta = \frac{adjacent}{hypotenuse}

                         To find opposite side \cos \theta = \frac{opposite}{adjacent}


            EXAMPLE:1)   \cos 30\degree = \frac{BC}{AC}


                                    \cos 30\degree = \frac{6}{AC}


                                        \frac{\sqrt{3}}{2} = \frac{6}{AC}

                                 Hypotenuse (AC) = \frac{12}{\sqrt{3}}

                                

                       2)     \tan 30\degree = \frac{AB}{BC}


                                       \frac{1}{\sqrt{3}} = \frac{AB}{6}


                                       AB = \frac{6}{\sqrt{3}}


Step 3: Determine the height of the tree.

            Height of the tree = AB + AC (Opposite + hypotenuse)


                                        =   (\frac{6}{\sqrt{3}} + \frac{12}{\sqrt{3}})


                                        = (\frac{18}{\sqrt{3}})


                                        = 6\sqrt{3} m