Question

1.5 metres tall boy is looking at the top of a temple which is 30 metres in it from a point at a certain distance. The angle of elevation from his eye to the top of the Crown of the temple increases from 30° to 60° as he walks towards the temple. Find the distance. He walked towards the temple.​

Answer 1

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Height of boy = 1.5m

Height of temple from ground 30m

Height of temple from boys vision= 30-1.5=28.5 m

Let distance between boy and temple be x.

Using trigonometry we have tan 30°=28.5/x                                                                                                        ⇒  1/√3 = 28.5/x                                                                                                         ⇒    x = 49.26             

When the angle of elevation is 60° boy has walked distance =y                                                                    we have tan60 = 28.5/(49.26-y)                                                                                         �   ⇒     √3 = 28.5/(49.26-y)                                                                                         ⇒  49.26-y=28.5/√3=16.45                                                                                                        y= 32.81

He has walked 32.81m toward temple. 

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