Krishna
0

Step 1: Analyse the given information and draw a figure by using the given measurements.

                  

  

            NOTE: The height of the statue AB  = h

                        Height of the pedestal  BC = 2 m

                The angle of elevation of the top of the statue = 60 \degree

                The angle of elevation of the top of the pedestal  = 45 \degree

                      

Step 2:  Find the height of the statue by using the suitable trigonometric ratios.

                 Height of the statue AB = AC  - BC

               Determine the length of the AC:  

              NOTE:    From triangle BCP

                                           \tan 45 \degree = \frac{opposite}{adjacent} = \frac{BC}{PC}      


                                           \tan 45 \degree = \frac{2}{PC}


                                                     1 = \frac{2}{PC}  ( \because \tan 45 \degree = 1 )   

 

                                                PC  =  2 m..............(1)


                            From triangle ACP

                                                 \tan 60\degree = \frac{opposite}{adjacent} = \frac{AC}{PC}


                                                 \tan 60\degree = \frac{AC}{2}    (Since, equation (1))


                                                       \sqrt{3} = \frac{AC}{2} (\because\tan60\degree=\sqrt{3}


                                                     AC = 2\sqrt{3}

          

                          Height of the statue AB = AC - BC

                                                         AB = 2\sqrt{3} - 2

                                                         AB = 2(\sqrt{3} - 1)

                                                         AB = 2(1.732 - 1)

                                                                    AB = 2(0.732)

                                                                    AB = 1.464  m